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Finding the Fourth Proportional to 8,658.50, 11,955.14 and 5,305.90

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Solution

The fourth proportional to 8,658.50, 11,955.14 and 5,305.90 is: 7,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.50 : 11,955.14 = 5,305.90 : x
  2. Step 2: Convert to fraction form
    8,658.50/11,955.14 = 5,305.90/x
  3. Step 3: Cross multiply
    8,658.50x = 11,955.14 × 5,305.90
  4. Step 4: Simplify right side
    8,658.50x = 63,432,691.02
  5. Step 5: Solve for x
    x = 63,432,691.02/8,658.50
  6. Step 6: Final answer
    x = 7,326.06

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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.