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Finding the Fourth Proportional to 8,486.70, 12,723.36 and 4,102.98

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Solution

The fourth proportional to 8,486.70, 12,723.36 and 4,102.98 is: 6,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.70 : 12,723.36 = 4,102.98 : x
  2. Step 2: Convert to fraction form
    8,486.70/12,723.36 = 4,102.98/x
  3. Step 3: Cross multiply
    8,486.70x = 12,723.36 × 4,102.98
  4. Step 4: Simplify right side
    8,486.70x = 52,203,691.61
  5. Step 5: Solve for x
    x = 52,203,691.61/8,486.70
  6. Step 6: Final answer
    x = 6,151.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.