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Finding the Fourth Proportional to 30,438.31, 45,657.47 and 8,251.69

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Solution

The fourth proportional to 30,438.31, 45,657.47 and 8,251.69 is: 12,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.31 : 45,657.47 = 8,251.69 : x
  2. Step 2: Convert to fraction form
    30,438.31/45,657.47 = 8,251.69/x
  3. Step 3: Cross multiply
    30,438.31x = 45,657.47 × 8,251.69
  4. Step 4: Simplify right side
    30,438.31x = 376,751,288.62
  5. Step 5: Solve for x
    x = 376,751,288.62/30,438.31
  6. Step 6: Final answer
    x = 12,377.54

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.