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Finding the Fourth Proportional to 20,461.72, 30,693.20 and 7,981.24

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Solution

The fourth proportional to 20,461.72, 30,693.20 and 7,981.24 is: 11,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.72 : 30,693.20 = 7,981.24 : x
  2. Step 2: Convert to fraction form
    20,461.72/30,693.20 = 7,981.24/x
  3. Step 3: Cross multiply
    20,461.72x = 30,693.20 × 7,981.24
  4. Step 4: Simplify right side
    20,461.72x = 244,969,755.66
  5. Step 5: Solve for x
    x = 244,969,755.66/20,461.72
  6. Step 6: Final answer
    x = 11,972.10

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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.