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Finding the Fourth Proportional to 3,659.80, 5,490.08 and 1,062.74

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Solution

The fourth proportional to 3,659.80, 5,490.08 and 1,062.74 is: 1,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.80 : 5,490.08 = 1,062.74 : x
  2. Step 2: Convert to fraction form
    3,659.80/5,490.08 = 1,062.74/x
  3. Step 3: Cross multiply
    3,659.80x = 5,490.08 × 1,062.74
  4. Step 4: Simplify right side
    3,659.80x = 5,834,516.55
  5. Step 5: Solve for x
    x = 5,834,516.55/3,659.80
  6. Step 6: Final answer
    x = 1,594.22

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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.