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Finding the Fourth Proportional to 17,957.82, 24,781.56 and 9,891.32

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Solution

The fourth proportional to 17,957.82, 24,781.56 and 9,891.32 is: 13,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.82 : 24,781.56 = 9,891.32 : x
  2. Step 2: Convert to fraction form
    17,957.82/24,781.56 = 9,891.32/x
  3. Step 3: Cross multiply
    17,957.82x = 24,781.56 × 9,891.32
  4. Step 4: Simplify right side
    17,957.82x = 245,122,216.15
  5. Step 5: Solve for x
    x = 245,122,216.15/17,957.82
  6. Step 6: Final answer
    x = 13,649.89

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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.