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Finding the Fourth Proportional to 22,465, 31,002.66 and 12,529

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Solution

The fourth proportional to 22,465, 31,002.66 and 12,529 is: 17,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465 : 31,002.66 = 12,529 : x
  2. Step 2: Convert to fraction form
    22,465/31,002.66 = 12,529/x
  3. Step 3: Cross multiply
    22,465x = 31,002.66 × 12,529
  4. Step 4: Simplify right side
    22,465x = 388,432,327.14
  5. Step 5: Solve for x
    x = 388,432,327.14/22,465
  6. Step 6: Final answer
    x = 17,290.56

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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.