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Finding the Fourth Proportional to 15,781.40, 23,672.10 and 7,989.20

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Solution

The fourth proportional to 15,781.40, 23,672.10 and 7,989.20 is: 11,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.40 : 23,672.10 = 7,989.20 : x
  2. Step 2: Convert to fraction form
    15,781.40/23,672.10 = 7,989.20/x
  3. Step 3: Cross multiply
    15,781.40x = 23,672.10 × 7,989.20
  4. Step 4: Simplify right side
    15,781.40x = 189,121,141.32
  5. Step 5: Solve for x
    x = 189,121,141.32/15,781.40
  6. Step 6: Final answer
    x = 11,983.80

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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.