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Finding the Fourth Proportional to 2,917.27, 4,375.90 and 944.55

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Solution

The fourth proportional to 2,917.27, 4,375.90 and 944.55 is: 1,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.27 : 4,375.90 = 944.55 : x
  2. Step 2: Convert to fraction form
    2,917.27/4,375.90 = 944.55/x
  3. Step 3: Cross multiply
    2,917.27x = 4,375.90 × 944.55
  4. Step 4: Simplify right side
    2,917.27x = 4,133,248.72
  5. Step 5: Solve for x
    x = 4,133,248.72/2,917.27
  6. Step 6: Final answer
    x = 1,416.82

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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.