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Finding the Fourth Proportional to 22,957.92, 31,679.82 and 12,888

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Solution

The fourth proportional to 22,957.92, 31,679.82 and 12,888 is: 17,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.92 : 31,679.82 = 12,888 : x
  2. Step 2: Convert to fraction form
    22,957.92/31,679.82 = 12,888/x
  3. Step 3: Cross multiply
    22,957.92x = 31,679.82 × 12,888
  4. Step 4: Simplify right side
    22,957.92x = 408,289,520.16
  5. Step 5: Solve for x
    x = 408,289,520.16/22,957.92
  6. Step 6: Final answer
    x = 17,784.26

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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.