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Finding the Fourth Proportional to 22,655.39, 31,264.65 and 13,222.13

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Solution

The fourth proportional to 22,655.39, 31,264.65 and 13,222.13 is: 18,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.39 : 31,264.65 = 13,222.13 : x
  2. Step 2: Convert to fraction form
    22,655.39/31,264.65 = 13,222.13/x
  3. Step 3: Cross multiply
    22,655.39x = 31,264.65 × 13,222.13
  4. Step 4: Simplify right side
    22,655.39x = 413,385,110.38
  5. Step 5: Solve for x
    x = 413,385,110.38/22,655.39
  6. Step 6: Final answer
    x = 18,246.66

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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.