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Finding the Fourth Proportional to 22,716.19, 31,348.68 and 12,645.07

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Solution

The fourth proportional to 22,716.19, 31,348.68 and 12,645.07 is: 17,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.19 : 31,348.68 = 12,645.07 : x
  2. Step 2: Convert to fraction form
    22,716.19/31,348.68 = 12,645.07/x
  3. Step 3: Cross multiply
    22,716.19x = 31,348.68 × 12,645.07
  4. Step 4: Simplify right side
    22,716.19x = 396,406,253.01
  5. Step 5: Solve for x
    x = 396,406,253.01/22,716.19
  6. Step 6: Final answer
    x = 17,450.38

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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.