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Finding the Fourth Proportional to 15,187.92, 22,784.91 and 6,422.82

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Solution

The fourth proportional to 15,187.92, 22,784.91 and 6,422.82 is: 9,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,187.92 : 22,784.91 = 6,422.82 : x
  2. Step 2: Convert to fraction form
    15,187.92/22,784.91 = 6,422.82/x
  3. Step 3: Cross multiply
    15,187.92x = 22,784.91 × 6,422.82
  4. Step 4: Simplify right side
    15,187.92x = 146,343,375.65
  5. Step 5: Solve for x
    x = 146,343,375.65/15,187.92
  6. Step 6: Final answer
    x = 9,635.51

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