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Finding the Fourth Proportional to 2,657.60, 3,965.63 and 2,380.88

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Solution

The fourth proportional to 2,657.60, 3,965.63 and 2,380.88 is: 3,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.60 : 3,965.63 = 2,380.88 : x
  2. Step 2: Convert to fraction form
    2,657.60/3,965.63 = 2,380.88/x
  3. Step 3: Cross multiply
    2,657.60x = 3,965.63 × 2,380.88
  4. Step 4: Simplify right side
    2,657.60x = 9,441,689.15
  5. Step 5: Solve for x
    x = 9,441,689.15/2,657.60
  6. Step 6: Final answer
    x = 3,552.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.