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Finding the Fourth Proportional to 22,737.92, 31,374.72 and 12,800

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Solution

The fourth proportional to 22,737.92, 31,374.72 and 12,800 is: 17,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.92 : 31,374.72 = 12,800 : x
  2. Step 2: Convert to fraction form
    22,737.92/31,374.72 = 12,800/x
  3. Step 3: Cross multiply
    22,737.92x = 31,374.72 × 12,800
  4. Step 4: Simplify right side
    22,737.92x = 401,596,416
  5. Step 5: Solve for x
    x = 401,596,416/22,737.92
  6. Step 6: Final answer
    x = 17,661.97

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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.