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Finding the Fourth Proportional to 47,734, 71,634 and 16,569.28

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Solution

The fourth proportional to 47,734, 71,634 and 16,569.28 is: 24,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,734 : 71,634 = 16,569.28 : x
  2. Step 2: Convert to fraction form
    47,734/71,634 = 16,569.28/x
  3. Step 3: Cross multiply
    47,734x = 71,634 × 16,569.28
  4. Step 4: Simplify right side
    47,734x = 1,186,923,803.52
  5. Step 5: Solve for x
    x = 1,186,923,803.52/47,734
  6. Step 6: Final answer
    x = 24,865.37

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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.