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Finding the Fourth Proportional to 8,123.80, 11,200 and 6,098.64

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Solution

The fourth proportional to 8,123.80, 11,200 and 6,098.64 is: 8,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.80 : 11,200 = 6,098.64 : x
  2. Step 2: Convert to fraction form
    8,123.80/11,200 = 6,098.64/x
  3. Step 3: Cross multiply
    8,123.80x = 11,200 × 6,098.64
  4. Step 4: Simplify right side
    8,123.80x = 68,304,768
  5. Step 5: Solve for x
    x = 68,304,768/8,123.80
  6. Step 6: Final answer
    x = 8,407.98

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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.