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Finding the Fourth Proportional to 27,151.42, 40,726.80 and 7,429.96

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Solution

The fourth proportional to 27,151.42, 40,726.80 and 7,429.96 is: 11,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151.42 : 40,726.80 = 7,429.96 : x
  2. Step 2: Convert to fraction form
    27,151.42/40,726.80 = 7,429.96/x
  3. Step 3: Cross multiply
    27,151.42x = 40,726.80 × 7,429.96
  4. Step 4: Simplify right side
    27,151.42x = 302,598,494.93
  5. Step 5: Solve for x
    x = 302,598,494.93/27,151.42
  6. Step 6: Final answer
    x = 11,144.85

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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.