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Finding the Fourth Proportional to 8,622.78, 12,914.91 and 7,497.78

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Solution

The fourth proportional to 8,622.78, 12,914.91 and 7,497.78 is: 11,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.78 : 12,914.91 = 7,497.78 : x
  2. Step 2: Convert to fraction form
    8,622.78/12,914.91 = 7,497.78/x
  3. Step 3: Cross multiply
    8,622.78x = 12,914.91 × 7,497.78
  4. Step 4: Simplify right side
    8,622.78x = 96,833,153.90
  5. Step 5: Solve for x
    x = 96,833,153.90/8,622.78
  6. Step 6: Final answer
    x = 11,229.92

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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.