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Finding the Fourth Proportional to 17,987.14, 26,988.49 and 9,657.43

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Solution

The fourth proportional to 17,987.14, 26,988.49 and 9,657.43 is: 14,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,987.14 : 26,988.49 = 9,657.43 : x
  2. Step 2: Convert to fraction form
    17,987.14/26,988.49 = 9,657.43/x
  3. Step 3: Cross multiply
    17,987.14x = 26,988.49 × 9,657.43
  4. Step 4: Simplify right side
    17,987.14x = 260,639,452.98
  5. Step 5: Solve for x
    x = 260,639,452.98/17,987.14
  6. Step 6: Final answer
    x = 14,490.33

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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.