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Finding the Fourth Proportional to 2,773.66, 4,157 and 1,387.38

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Solution

The fourth proportional to 2,773.66, 4,157 and 1,387.38 is: 2,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.66 : 4,157 = 1,387.38 : x
  2. Step 2: Convert to fraction form
    2,773.66/4,157 = 1,387.38/x
  3. Step 3: Cross multiply
    2,773.66x = 4,157 × 1,387.38
  4. Step 4: Simplify right side
    2,773.66x = 5,767,338.66
  5. Step 5: Solve for x
    x = 5,767,338.66/2,773.66
  6. Step 6: Final answer
    x = 2,079.32

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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.