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Finding the Fourth Proportional to 3,658.77, 5,049.11 and 1,980.19

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Solution

The fourth proportional to 3,658.77, 5,049.11 and 1,980.19 is: 2,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.77 : 5,049.11 = 1,980.19 : x
  2. Step 2: Convert to fraction form
    3,658.77/5,049.11 = 1,980.19/x
  3. Step 3: Cross multiply
    3,658.77x = 5,049.11 × 1,980.19
  4. Step 4: Simplify right side
    3,658.77x = 9,998,180.27
  5. Step 5: Solve for x
    x = 9,998,180.27/3,658.77
  6. Step 6: Final answer
    x = 2,732.66

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.