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Finding the Fourth Proportional to 3,660.76, 5,489.77 and 1,320.13

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Solution

The fourth proportional to 3,660.76, 5,489.77 and 1,320.13 is: 1,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.76 : 5,489.77 = 1,320.13 : x
  2. Step 2: Convert to fraction form
    3,660.76/5,489.77 = 1,320.13/x
  3. Step 3: Cross multiply
    3,660.76x = 5,489.77 × 1,320.13
  4. Step 4: Simplify right side
    3,660.76x = 7,247,210.07
  5. Step 5: Solve for x
    x = 7,247,210.07/3,660.76
  6. Step 6: Final answer
    x = 1,979.70

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.