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Finding the Fourth Proportional to 23,172.32, 31,978.32 and 13,737.44

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Solution

The fourth proportional to 23,172.32, 31,978.32 and 13,737.44 is: 18,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.32 : 31,978.32 = 13,737.44 : x
  2. Step 2: Convert to fraction form
    23,172.32/31,978.32 = 13,737.44/x
  3. Step 3: Cross multiply
    23,172.32x = 31,978.32 × 13,737.44
  4. Step 4: Simplify right side
    23,172.32x = 439,300,252.30
  5. Step 5: Solve for x
    x = 439,300,252.30/23,172.32
  6. Step 6: Final answer
    x = 18,957.97

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1.5x scale

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.