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Finding the Fourth Proportional to 3,640.79, 5,461.20 and 1,107.91

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Solution

The fourth proportional to 3,640.79, 5,461.20 and 1,107.91 is: 1,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.79 : 5,461.20 = 1,107.91 : x
  2. Step 2: Convert to fraction form
    3,640.79/5,461.20 = 1,107.91/x
  3. Step 3: Cross multiply
    3,640.79x = 5,461.20 × 1,107.91
  4. Step 4: Simplify right side
    3,640.79x = 6,050,514.92
  5. Step 5: Solve for x
    x = 6,050,514.92/3,640.79
  6. Step 6: Final answer
    x = 1,661.87

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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.