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Finding the Fourth Proportional to 5,679.57, 7,839.95 and 4,199.40

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Solution

The fourth proportional to 5,679.57, 7,839.95 and 4,199.40 is: 5,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.57 : 7,839.95 = 4,199.40 : x
  2. Step 2: Convert to fraction form
    5,679.57/7,839.95 = 4,199.40/x
  3. Step 3: Cross multiply
    5,679.57x = 7,839.95 × 4,199.40
  4. Step 4: Simplify right side
    5,679.57x = 32,923,065.03
  5. Step 5: Solve for x
    x = 32,923,065.03/5,679.57
  6. Step 6: Final answer
    x = 5,796.75

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Half 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.