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Finding the Fourth Proportional to 3,724.65, 5,137.02 and 3,275.55

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Solution

The fourth proportional to 3,724.65, 5,137.02 and 3,275.55 is: 4,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.65 : 5,137.02 = 3,275.55 : x
  2. Step 2: Convert to fraction form
    3,724.65/5,137.02 = 3,275.55/x
  3. Step 3: Cross multiply
    3,724.65x = 5,137.02 × 3,275.55
  4. Step 4: Simplify right side
    3,724.65x = 16,826,565.86
  5. Step 5: Solve for x
    x = 16,826,565.86/3,724.65
  6. Step 6: Final answer
    x = 4,517.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.