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Finding the Fourth Proportional to 3,758.91, 5,640.12 and 1,678.71

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Solution

The fourth proportional to 3,758.91, 5,640.12 and 1,678.71 is: 2,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.91 : 5,640.12 = 1,678.71 : x
  2. Step 2: Convert to fraction form
    3,758.91/5,640.12 = 1,678.71/x
  3. Step 3: Cross multiply
    3,758.91x = 5,640.12 × 1,678.71
  4. Step 4: Simplify right side
    3,758.91x = 9,468,125.85
  5. Step 5: Solve for x
    x = 9,468,125.85/3,758.91
  6. Step 6: Final answer
    x = 2,518.85

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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.