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Finding the Fourth Proportional to 22,693, 31,316.34 and 12,757

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Solution

The fourth proportional to 22,693, 31,316.34 and 12,757 is: 17,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,693 : 31,316.34 = 12,757 : x
  2. Step 2: Convert to fraction form
    22,693/31,316.34 = 12,757/x
  3. Step 3: Cross multiply
    22,693x = 31,316.34 × 12,757
  4. Step 4: Simplify right side
    22,693x = 399,502,549.38
  5. Step 5: Solve for x
    x = 399,502,549.38/22,693
  6. Step 6: Final answer
    x = 17,604.66

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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.