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Finding the Fourth Proportional to 5,157.72, 7,110.78 and 4,099.02

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Solution

The fourth proportional to 5,157.72, 7,110.78 and 4,099.02 is: 5,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.72 : 7,110.78 = 4,099.02 : x
  2. Step 2: Convert to fraction form
    5,157.72/7,110.78 = 4,099.02/x
  3. Step 3: Cross multiply
    5,157.72x = 7,110.78 × 4,099.02
  4. Step 4: Simplify right side
    5,157.72x = 29,147,229.44
  5. Step 5: Solve for x
    x = 29,147,229.44/5,157.72
  6. Step 6: Final answer
    x = 5,651.18

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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.