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Finding the Fourth Proportional to 3,660.76, 5,489.76 and 1,320.14

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Solution

The fourth proportional to 3,660.76, 5,489.76 and 1,320.14 is: 1,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.76 : 5,489.76 = 1,320.14 : x
  2. Step 2: Convert to fraction form
    3,660.76/5,489.76 = 1,320.14/x
  3. Step 3: Cross multiply
    3,660.76x = 5,489.76 × 1,320.14
  4. Step 4: Simplify right side
    3,660.76x = 7,247,251.77
  5. Step 5: Solve for x
    x = 7,247,251.77/3,660.76
  6. Step 6: Final answer
    x = 1,979.71

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Double scale
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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.