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Finding the Fourth Proportional to 26,619, 39,937.71 and 9,101.16

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Solution

The fourth proportional to 26,619, 39,937.71 and 9,101.16 is: 13,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,619 : 39,937.71 = 9,101.16 : x
  2. Step 2: Convert to fraction form
    26,619/39,937.71 = 9,101.16/x
  3. Step 3: Cross multiply
    26,619x = 39,937.71 × 9,101.16
  4. Step 4: Simplify right side
    26,619x = 363,479,488.74
  5. Step 5: Solve for x
    x = 363,479,488.74/26,619
  6. Step 6: Final answer
    x = 13,654.89

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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.