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Finding the Fourth Proportional to 2,400.96, 3,318.96 and 2,378.88

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Solution

The fourth proportional to 2,400.96, 3,318.96 and 2,378.88 is: 3,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.96 : 3,318.96 = 2,378.88 : x
  2. Step 2: Convert to fraction form
    2,400.96/3,318.96 = 2,378.88/x
  3. Step 3: Cross multiply
    2,400.96x = 3,318.96 × 2,378.88
  4. Step 4: Simplify right side
    2,400.96x = 7,895,407.56
  5. Step 5: Solve for x
    x = 7,895,407.56/2,400.96
  6. Step 6: Final answer
    x = 3,288.44

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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.