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Finding the Fourth Proportional to 30,117.21, 45,171.96 and 7,932.30

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Solution

The fourth proportional to 30,117.21, 45,171.96 and 7,932.30 is: 11,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117.21 : 45,171.96 = 7,932.30 : x
  2. Step 2: Convert to fraction form
    30,117.21/45,171.96 = 7,932.30/x
  3. Step 3: Cross multiply
    30,117.21x = 45,171.96 × 7,932.30
  4. Step 4: Simplify right side
    30,117.21x = 358,317,538.31
  5. Step 5: Solve for x
    x = 358,317,538.31/30,117.21
  6. Step 6: Final answer
    x = 11,897.43

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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.