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Finding the Fourth Proportional to 22,661.37, 31,279.37 and 13,232.16

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Solution

The fourth proportional to 22,661.37, 31,279.37 and 13,232.16 is: 18,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.37 : 31,279.37 = 13,232.16 : x
  2. Step 2: Convert to fraction form
    22,661.37/31,279.37 = 13,232.16/x
  3. Step 3: Cross multiply
    22,661.37x = 31,279.37 × 13,232.16
  4. Step 4: Simplify right side
    22,661.37x = 413,893,562.38
  5. Step 5: Solve for x
    x = 413,893,562.38/22,661.37
  6. Step 6: Final answer
    x = 18,264.28

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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.