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Finding the Fourth Proportional to 8,627.32, 11,911.49 and 5,798.91

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Solution

The fourth proportional to 8,627.32, 11,911.49 and 5,798.91 is: 8,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.32 : 11,911.49 = 5,798.91 : x
  2. Step 2: Convert to fraction form
    8,627.32/11,911.49 = 5,798.91/x
  3. Step 3: Cross multiply
    8,627.32x = 11,911.49 × 5,798.91
  4. Step 4: Simplify right side
    8,627.32x = 69,073,658.48
  5. Step 5: Solve for x
    x = 69,073,658.48/8,627.32
  6. Step 6: Final answer
    x = 8,006.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.