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Finding the Fourth Proportional to 52,000, 71,760 and 28,448

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Solution

The fourth proportional to 52,000, 71,760 and 28,448 is: 39,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,000 : 71,760 = 28,448 : x
  2. Step 2: Convert to fraction form
    52,000/71,760 = 28,448/x
  3. Step 3: Cross multiply
    52,000x = 71,760 × 28,448
  4. Step 4: Simplify right side
    52,000x = 2,041,428,480
  5. Step 5: Solve for x
    x = 2,041,428,480/52,000
  6. Step 6: Final answer
    x = 39,258.24

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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.