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Finding the Fourth Proportional to 7,135.80, 10,705.50 and 5,761.62

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Solution

The fourth proportional to 7,135.80, 10,705.50 and 5,761.62 is: 8,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.80 : 10,705.50 = 5,761.62 : x
  2. Step 2: Convert to fraction form
    7,135.80/10,705.50 = 5,761.62/x
  3. Step 3: Cross multiply
    7,135.80x = 10,705.50 × 5,761.62
  4. Step 4: Simplify right side
    7,135.80x = 61,681,022.91
  5. Step 5: Solve for x
    x = 61,681,022.91/7,135.80
  6. Step 6: Final answer
    x = 8,643.88

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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.