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Finding the Fourth Proportional to 5,157.40, 7,739.16 and 2,195.70

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Solution

The fourth proportional to 5,157.40, 7,739.16 and 2,195.70 is: 3,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.40 : 7,739.16 = 2,195.70 : x
  2. Step 2: Convert to fraction form
    5,157.40/7,739.16 = 2,195.70/x
  3. Step 3: Cross multiply
    5,157.40x = 7,739.16 × 2,195.70
  4. Step 4: Simplify right side
    5,157.40x = 16,992,873.61
  5. Step 5: Solve for x
    x = 16,992,873.61/5,157.40
  6. Step 6: Final answer
    x = 3,294.85

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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.