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Finding the Fourth Proportional to 5,814.80, 8,680.02 and 5,381.15

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Solution

The fourth proportional to 5,814.80, 8,680.02 and 5,381.15 is: 8,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.80 : 8,680.02 = 5,381.15 : x
  2. Step 2: Convert to fraction form
    5,814.80/8,680.02 = 5,381.15/x
  3. Step 3: Cross multiply
    5,814.80x = 8,680.02 × 5,381.15
  4. Step 4: Simplify right side
    5,814.80x = 46,708,426.04
  5. Step 5: Solve for x
    x = 46,708,426.04/5,814.80
  6. Step 6: Final answer
    x = 8,032.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.