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Finding the Fourth Proportional to 30,098.25, 45,147.38 and 9,321.75

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Solution

The fourth proportional to 30,098.25, 45,147.38 and 9,321.75 is: 13,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.25 : 45,147.38 = 9,321.75 : x
  2. Step 2: Convert to fraction form
    30,098.25/45,147.38 = 9,321.75/x
  3. Step 3: Cross multiply
    30,098.25x = 45,147.38 × 9,321.75
  4. Step 4: Simplify right side
    30,098.25x = 420,852,542.91
  5. Step 5: Solve for x
    x = 420,852,542.91/30,098.25
  6. Step 6: Final answer
    x = 13,982.63

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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.