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Finding the Fourth Proportional to 8,487.70, 12,724.86 and 4,103.98

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Solution

The fourth proportional to 8,487.70, 12,724.86 and 4,103.98 is: 6,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.70 : 12,724.86 = 4,103.98 : x
  2. Step 2: Convert to fraction form
    8,487.70/12,724.86 = 4,103.98/x
  3. Step 3: Cross multiply
    8,487.70x = 12,724.86 × 4,103.98
  4. Step 4: Simplify right side
    8,487.70x = 52,222,570.94
  5. Step 5: Solve for x
    x = 52,222,570.94/8,487.70
  6. Step 6: Final answer
    x = 6,152.74

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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.