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Finding the Fourth Proportional to 28,464, 39,280.24 and 16,534.24

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Solution

The fourth proportional to 28,464, 39,280.24 and 16,534.24 is: 22,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,464 : 39,280.24 = 16,534.24 : x
  2. Step 2: Convert to fraction form
    28,464/39,280.24 = 16,534.24/x
  3. Step 3: Cross multiply
    28,464x = 39,280.24 × 16,534.24
  4. Step 4: Simplify right side
    28,464x = 649,468,915.42
  5. Step 5: Solve for x
    x = 649,468,915.42/28,464
  6. Step 6: Final answer
    x = 22,817.20

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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.