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Finding the Fourth Proportional to 3,837.62, 5,295.62 and 2,158.72

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Solution

The fourth proportional to 3,837.62, 5,295.62 and 2,158.72 is: 2,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.62 : 5,295.62 = 2,158.72 : x
  2. Step 2: Convert to fraction form
    3,837.62/5,295.62 = 2,158.72/x
  3. Step 3: Cross multiply
    3,837.62x = 5,295.62 × 2,158.72
  4. Step 4: Simplify right side
    3,837.62x = 11,431,760.81
  5. Step 5: Solve for x
    x = 11,431,760.81/3,837.62
  6. Step 6: Final answer
    x = 2,978.87

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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.