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Finding the Fourth Proportional to 15,284.60, 22,898.10 and 7,863.80

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Solution

The fourth proportional to 15,284.60, 22,898.10 and 7,863.80 is: 11,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.60 : 22,898.10 = 7,863.80 : x
  2. Step 2: Convert to fraction form
    15,284.60/22,898.10 = 7,863.80/x
  3. Step 3: Cross multiply
    15,284.60x = 22,898.10 × 7,863.80
  4. Step 4: Simplify right side
    15,284.60x = 180,066,078.78
  5. Step 5: Solve for x
    x = 180,066,078.78/15,284.60
  6. Step 6: Final answer
    x = 11,780.88

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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.