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Finding the Fourth Proportional to 17,686.50, 24,407.94 and 9,729.30

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Solution

The fourth proportional to 17,686.50, 24,407.94 and 9,729.30 is: 13,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.50 : 24,407.94 = 9,729.30 : x
  2. Step 2: Convert to fraction form
    17,686.50/24,407.94 = 9,729.30/x
  3. Step 3: Cross multiply
    17,686.50x = 24,407.94 × 9,729.30
  4. Step 4: Simplify right side
    17,686.50x = 237,472,170.64
  5. Step 5: Solve for x
    x = 237,472,170.64/17,686.50
  6. Step 6: Final answer
    x = 13,426.75

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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.