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Finding the Fourth Proportional to 5,482.27, 8,221.92 and 1,585.90

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Solution

The fourth proportional to 5,482.27, 8,221.92 and 1,585.90 is: 2,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.27 : 8,221.92 = 1,585.90 : x
  2. Step 2: Convert to fraction form
    5,482.27/8,221.92 = 1,585.90/x
  3. Step 3: Cross multiply
    5,482.27x = 8,221.92 × 1,585.90
  4. Step 4: Simplify right side
    5,482.27x = 13,039,142.93
  5. Step 5: Solve for x
    x = 13,039,142.93/5,482.27
  6. Step 6: Final answer
    x = 2,378.42

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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.