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Finding the Fourth Proportional to 22,587, 31,170.06 and 12,651

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Solution

The fourth proportional to 22,587, 31,170.06 and 12,651 is: 17,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,587 : 31,170.06 = 12,651 : x
  2. Step 2: Convert to fraction form
    22,587/31,170.06 = 12,651/x
  3. Step 3: Cross multiply
    22,587x = 31,170.06 × 12,651
  4. Step 4: Simplify right side
    22,587x = 394,332,429.06
  5. Step 5: Solve for x
    x = 394,332,429.06/22,587
  6. Step 6: Final answer
    x = 17,458.38

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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.