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Finding the Fourth Proportional to 3,880.92, 5,820.41 and 1,658.66

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Solution

The fourth proportional to 3,880.92, 5,820.41 and 1,658.66 is: 2,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.92 : 5,820.41 = 1,658.66 : x
  2. Step 2: Convert to fraction form
    3,880.92/5,820.41 = 1,658.66/x
  3. Step 3: Cross multiply
    3,880.92x = 5,820.41 × 1,658.66
  4. Step 4: Simplify right side
    3,880.92x = 9,654,082.85
  5. Step 5: Solve for x
    x = 9,654,082.85/3,880.92
  6. Step 6: Final answer
    x = 2,487.57

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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.