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Finding the Fourth Proportional to 29,566.75, 40,802.12 and 20,151.76

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Solution

The fourth proportional to 29,566.75, 40,802.12 and 20,151.76 is: 27,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566.75 : 40,802.12 = 20,151.76 : x
  2. Step 2: Convert to fraction form
    29,566.75/40,802.12 = 20,151.76/x
  3. Step 3: Cross multiply
    29,566.75x = 40,802.12 × 20,151.76
  4. Step 4: Simplify right side
    29,566.75x = 822,234,428.97
  5. Step 5: Solve for x
    x = 822,234,428.97/29,566.75
  6. Step 6: Final answer
    x = 27,809.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.