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Finding the Fourth Proportional to 8,657.39, 12,986.19 and 3,114.70

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Solution

The fourth proportional to 8,657.39, 12,986.19 and 3,114.70 is: 4,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.39 : 12,986.19 = 3,114.70 : x
  2. Step 2: Convert to fraction form
    8,657.39/12,986.19 = 3,114.70/x
  3. Step 3: Cross multiply
    8,657.39x = 12,986.19 × 3,114.70
  4. Step 4: Simplify right side
    8,657.39x = 40,448,053.53
  5. Step 5: Solve for x
    x = 40,448,053.53/8,657.39
  6. Step 6: Final answer
    x = 4,672.08

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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.