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Finding the Fourth Proportional to 27,140.40, 40,696.02 and 8,412.39

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Solution

The fourth proportional to 27,140.40, 40,696.02 and 8,412.39 is: 12,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.40 : 40,696.02 = 8,412.39 : x
  2. Step 2: Convert to fraction form
    27,140.40/40,696.02 = 8,412.39/x
  3. Step 3: Cross multiply
    27,140.40x = 40,696.02 × 8,412.39
  4. Step 4: Simplify right side
    27,140.40x = 342,350,791.69
  5. Step 5: Solve for x
    x = 342,350,791.69/27,140.40
  6. Step 6: Final answer
    x = 12,614.07

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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.