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Finding the Fourth Proportional to 22,586, 31,168.68 and 12,650

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Solution

The fourth proportional to 22,586, 31,168.68 and 12,650 is: 17,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586 : 31,168.68 = 12,650 : x
  2. Step 2: Convert to fraction form
    22,586/31,168.68 = 12,650/x
  3. Step 3: Cross multiply
    22,586x = 31,168.68 × 12,650
  4. Step 4: Simplify right side
    22,586x = 394,283,802
  5. Step 5: Solve for x
    x = 394,283,802/22,586
  6. Step 6: Final answer
    x = 17,457

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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.