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Finding the Fourth Proportional to 17,687.66, 24,408.47 and 9,729.89

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Solution

The fourth proportional to 17,687.66, 24,408.47 and 9,729.89 is: 13,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.66 : 24,408.47 = 9,729.89 : x
  2. Step 2: Convert to fraction form
    17,687.66/24,408.47 = 9,729.89/x
  3. Step 3: Cross multiply
    17,687.66x = 24,408.47 × 9,729.89
  4. Step 4: Simplify right side
    17,687.66x = 237,491,728.17
  5. Step 5: Solve for x
    x = 237,491,728.17/17,687.66
  6. Step 6: Final answer
    x = 13,426.97

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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.