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Finding the Fourth Proportional to 3,489.61, 5,232.37 and 1,409.68

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Solution

The fourth proportional to 3,489.61, 5,232.37 and 1,409.68 is: 2,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.61 : 5,232.37 = 1,409.68 : x
  2. Step 2: Convert to fraction form
    3,489.61/5,232.37 = 1,409.68/x
  3. Step 3: Cross multiply
    3,489.61x = 5,232.37 × 1,409.68
  4. Step 4: Simplify right side
    3,489.61x = 7,375,960.29
  5. Step 5: Solve for x
    x = 7,375,960.29/3,489.61
  6. Step 6: Final answer
    x = 2,113.69

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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.