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Finding the Fourth Proportional to 3,758.79, 5,635.35 and 2,277.71

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Solution

The fourth proportional to 3,758.79, 5,635.35 and 2,277.71 is: 3,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.79 : 5,635.35 = 2,277.71 : x
  2. Step 2: Convert to fraction form
    3,758.79/5,635.35 = 2,277.71/x
  3. Step 3: Cross multiply
    3,758.79x = 5,635.35 × 2,277.71
  4. Step 4: Simplify right side
    3,758.79x = 12,835,693.05
  5. Step 5: Solve for x
    x = 12,835,693.05/3,758.79
  6. Step 6: Final answer
    x = 3,414.85

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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.