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Finding the Fourth Proportional to 5,679.33, 7,835.30 and 4,190.80

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Solution

The fourth proportional to 5,679.33, 7,835.30 and 4,190.80 is: 5,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.33 : 7,835.30 = 4,190.80 : x
  2. Step 2: Convert to fraction form
    5,679.33/7,835.30 = 4,190.80/x
  3. Step 3: Cross multiply
    5,679.33x = 7,835.30 × 4,190.80
  4. Step 4: Simplify right side
    5,679.33x = 32,836,175.24
  5. Step 5: Solve for x
    x = 32,836,175.24/5,679.33
  6. Step 6: Final answer
    x = 5,781.70

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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.