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Finding the Fourth Proportional to 27,141.39, 40,711.80 and 7,419.96

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Solution

The fourth proportional to 27,141.39, 40,711.80 and 7,419.96 is: 11,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.39 : 40,711.80 = 7,419.96 : x
  2. Step 2: Convert to fraction form
    27,141.39/40,711.80 = 7,419.96/x
  3. Step 3: Cross multiply
    27,141.39x = 40,711.80 × 7,419.96
  4. Step 4: Simplify right side
    27,141.39x = 302,079,927.53
  5. Step 5: Solve for x
    x = 302,079,927.53/27,141.39
  6. Step 6: Final answer
    x = 11,129.86

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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.