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Finding the Fourth Proportional to 3,659.49, 5,489.76 and 1,193.70

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Solution

The fourth proportional to 3,659.49, 5,489.76 and 1,193.70 is: 1,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.49 : 5,489.76 = 1,193.70 : x
  2. Step 2: Convert to fraction form
    3,659.49/5,489.76 = 1,193.70/x
  3. Step 3: Cross multiply
    3,659.49x = 5,489.76 × 1,193.70
  4. Step 4: Simplify right side
    3,659.49x = 6,553,126.51
  5. Step 5: Solve for x
    x = 6,553,126.51/3,659.49
  6. Step 6: Final answer
    x = 1,790.72

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Double scale
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Similar ratio
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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.