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Finding the Fourth Proportional to 3,659.46, 5,489.15 and 1,580.93

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Solution

The fourth proportional to 3,659.46, 5,489.15 and 1,580.93 is: 2,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.46 : 5,489.15 = 1,580.93 : x
  2. Step 2: Convert to fraction form
    3,659.46/5,489.15 = 1,580.93/x
  3. Step 3: Cross multiply
    3,659.46x = 5,489.15 × 1,580.93
  4. Step 4: Simplify right side
    3,659.46x = 8,677,926.56
  5. Step 5: Solve for x
    x = 8,677,926.56/3,659.46
  6. Step 6: Final answer
    x = 2,371.37

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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.