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Finding the Fourth Proportional to 8,616, 11,891.52 and 4,892.16

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Solution

The fourth proportional to 8,616, 11,891.52 and 4,892.16 is: 6,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616 : 11,891.52 = 4,892.16 : x
  2. Step 2: Convert to fraction form
    8,616/11,891.52 = 4,892.16/x
  3. Step 3: Cross multiply
    8,616x = 11,891.52 × 4,892.16
  4. Step 4: Simplify right side
    8,616x = 58,175,218.48
  5. Step 5: Solve for x
    x = 58,175,218.48/8,616
  6. Step 6: Final answer
    x = 6,752.00

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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.