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Finding the Fourth Proportional to 31,761.84, 43,839.90 and 19,818.12

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Solution

The fourth proportional to 31,761.84, 43,839.90 and 19,818.12 is: 27,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.84 : 43,839.90 = 19,818.12 : x
  2. Step 2: Convert to fraction form
    31,761.84/43,839.90 = 19,818.12/x
  3. Step 3: Cross multiply
    31,761.84x = 43,839.90 × 19,818.12
  4. Step 4: Simplify right side
    31,761.84x = 868,824,398.99
  5. Step 5: Solve for x
    x = 868,824,398.99/31,761.84
  6. Step 6: Final answer
    x = 27,354.35

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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.