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Finding the Fourth Proportional to 51,344, 70,854.72 and 27,792

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Solution

The fourth proportional to 51,344, 70,854.72 and 27,792 is: 38,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,344 : 70,854.72 = 27,792 : x
  2. Step 2: Convert to fraction form
    51,344/70,854.72 = 27,792/x
  3. Step 3: Cross multiply
    51,344x = 70,854.72 × 27,792
  4. Step 4: Simplify right side
    51,344x = 1,969,194,378.24
  5. Step 5: Solve for x
    x = 1,969,194,378.24/51,344
  6. Step 6: Final answer
    x = 38,352.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.