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Finding the Fourth Proportional to 8,051.80, 12,081.12 and 5,135.80

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Solution

The fourth proportional to 8,051.80, 12,081.12 and 5,135.80 is: 7,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.80 : 12,081.12 = 5,135.80 : x
  2. Step 2: Convert to fraction form
    8,051.80/12,081.12 = 5,135.80/x
  3. Step 3: Cross multiply
    8,051.80x = 12,081.12 × 5,135.80
  4. Step 4: Simplify right side
    8,051.80x = 62,046,216.10
  5. Step 5: Solve for x
    x = 62,046,216.10/8,051.80
  6. Step 6: Final answer
    x = 7,705.88

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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.