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Finding the Fourth Proportional to 19,757.46, 29,620.71 and 9,891.78

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Solution

The fourth proportional to 19,757.46, 29,620.71 and 9,891.78 is: 14,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.46 : 29,620.71 = 9,891.78 : x
  2. Step 2: Convert to fraction form
    19,757.46/29,620.71 = 9,891.78/x
  3. Step 3: Cross multiply
    19,757.46x = 29,620.71 × 9,891.78
  4. Step 4: Simplify right side
    19,757.46x = 293,001,546.76
  5. Step 5: Solve for x
    x = 293,001,546.76/19,757.46
  6. Step 6: Final answer
    x = 14,829.92

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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.