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Finding the Fourth Proportional to 17,138.72, 25,708.07 and 9,642.78

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Solution

The fourth proportional to 17,138.72, 25,708.07 and 9,642.78 is: 14,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.72 : 25,708.07 = 9,642.78 : x
  2. Step 2: Convert to fraction form
    17,138.72/25,708.07 = 9,642.78/x
  3. Step 3: Cross multiply
    17,138.72x = 25,708.07 × 9,642.78
  4. Step 4: Simplify right side
    17,138.72x = 247,897,263.23
  5. Step 5: Solve for x
    x = 247,897,263.23/17,138.72
  6. Step 6: Final answer
    x = 14,464.16

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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.