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Finding the Fourth Proportional to 5,679.40, 7,837.66 and 3,195.40

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Solution

The fourth proportional to 5,679.40, 7,837.66 and 3,195.40 is: 4,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.40 : 7,837.66 = 3,195.40 : x
  2. Step 2: Convert to fraction form
    5,679.40/7,837.66 = 3,195.40/x
  3. Step 3: Cross multiply
    5,679.40x = 7,837.66 × 3,195.40
  4. Step 4: Simplify right side
    5,679.40x = 25,044,458.76
  5. Step 5: Solve for x
    x = 25,044,458.76/5,679.40
  6. Step 6: Final answer
    x = 4,409.70

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