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Finding the Fourth Proportional to 27,139.17, 40,711.34 and 8,419.41

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Solution

The fourth proportional to 27,139.17, 40,711.34 and 8,419.41 is: 12,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,139.17 : 40,711.34 = 8,419.41 : x
  2. Step 2: Convert to fraction form
    27,139.17/40,711.34 = 8,419.41/x
  3. Step 3: Cross multiply
    27,139.17x = 40,711.34 × 8,419.41
  4. Step 4: Simplify right side
    27,139.17x = 342,765,421.01
  5. Step 5: Solve for x
    x = 342,765,421.01/27,139.17
  6. Step 6: Final answer
    x = 12,629.92

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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.