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Finding the Fourth Proportional to 8,657.80, 12,983.82 and 3,110.20

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Solution

The fourth proportional to 8,657.80, 12,983.82 and 3,110.20 is: 4,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.80 : 12,983.82 = 3,110.20 : x
  2. Step 2: Convert to fraction form
    8,657.80/12,983.82 = 3,110.20/x
  3. Step 3: Cross multiply
    8,657.80x = 12,983.82 × 3,110.20
  4. Step 4: Simplify right side
    8,657.80x = 40,382,276.96
  5. Step 5: Solve for x
    x = 40,382,276.96/8,657.80
  6. Step 6: Final answer
    x = 4,664.27

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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.