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Finding the Fourth Proportional to 17,686.40, 24,406.97 and 9,728.15

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Solution

The fourth proportional to 17,686.40, 24,406.97 and 9,728.15 is: 13,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.40 : 24,406.97 = 9,728.15 : x
  2. Step 2: Convert to fraction form
    17,686.40/24,406.97 = 9,728.15/x
  3. Step 3: Cross multiply
    17,686.40x = 24,406.97 × 9,728.15
  4. Step 4: Simplify right side
    17,686.40x = 237,434,494.53
  5. Step 5: Solve for x
    x = 237,434,494.53/17,686.40
  6. Step 6: Final answer
    x = 13,424.70

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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.