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Finding the Fourth Proportional to 5,157.54, 7,115.78 and 3,032.40

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Solution

The fourth proportional to 5,157.54, 7,115.78 and 3,032.40 is: 4,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.54 : 7,115.78 = 3,032.40 : x
  2. Step 2: Convert to fraction form
    5,157.54/7,115.78 = 3,032.40/x
  3. Step 3: Cross multiply
    5,157.54x = 7,115.78 × 3,032.40
  4. Step 4: Simplify right side
    5,157.54x = 21,577,891.27
  5. Step 5: Solve for x
    x = 21,577,891.27/5,157.54
  6. Step 6: Final answer
    x = 4,183.76

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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.