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Finding the Fourth Proportional to 22,950.40, 34,382.40 and 11,819.20

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Solution

The fourth proportional to 22,950.40, 34,382.40 and 11,819.20 is: 17,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950.40 : 34,382.40 = 11,819.20 : x
  2. Step 2: Convert to fraction form
    22,950.40/34,382.40 = 11,819.20/x
  3. Step 3: Cross multiply
    22,950.40x = 34,382.40 × 11,819.20
  4. Step 4: Simplify right side
    22,950.40x = 406,372,462.08
  5. Step 5: Solve for x
    x = 406,372,462.08/22,950.40
  6. Step 6: Final answer
    x = 17,706.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.