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Finding the Fourth Proportional to 8,116.52, 11,200.80 and 4,580.48

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Solution

The fourth proportional to 8,116.52, 11,200.80 and 4,580.48 is: 6,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.52 : 11,200.80 = 4,580.48 : x
  2. Step 2: Convert to fraction form
    8,116.52/11,200.80 = 4,580.48/x
  3. Step 3: Cross multiply
    8,116.52x = 11,200.80 × 4,580.48
  4. Step 4: Simplify right side
    8,116.52x = 51,305,040.38
  5. Step 5: Solve for x
    x = 51,305,040.38/8,116.52
  6. Step 6: Final answer
    x = 6,321.06

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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.