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Finding the Fourth Proportional to 3,487.92, 5,230.32 and 1,639.56

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Solution

The fourth proportional to 3,487.92, 5,230.32 and 1,639.56 is: 2,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.92 : 5,230.32 = 1,639.56 : x
  2. Step 2: Convert to fraction form
    3,487.92/5,230.32 = 1,639.56/x
  3. Step 3: Cross multiply
    3,487.92x = 5,230.32 × 1,639.56
  4. Step 4: Simplify right side
    3,487.92x = 8,575,423.46
  5. Step 5: Solve for x
    x = 8,575,423.46/3,487.92
  6. Step 6: Final answer
    x = 2,458.61

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1.5x scale

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.