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Finding the Fourth Proportional to 15,078.62, 22,584.46 and 8,490.08

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Solution

The fourth proportional to 15,078.62, 22,584.46 and 8,490.08 is: 12,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.62 : 22,584.46 = 8,490.08 : x
  2. Step 2: Convert to fraction form
    15,078.62/22,584.46 = 8,490.08/x
  3. Step 3: Cross multiply
    15,078.62x = 22,584.46 × 8,490.08
  4. Step 4: Simplify right side
    15,078.62x = 191,743,872.16
  5. Step 5: Solve for x
    x = 191,743,872.16/15,078.62
  6. Step 6: Final answer
    x = 12,716.27

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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.