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Finding the Fourth Proportional to 2,773.98, 4,157.37 and 1,128.62

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Solution

The fourth proportional to 2,773.98, 4,157.37 and 1,128.62 is: 1,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.98 : 4,157.37 = 1,128.62 : x
  2. Step 2: Convert to fraction form
    2,773.98/4,157.37 = 1,128.62/x
  3. Step 3: Cross multiply
    2,773.98x = 4,157.37 × 1,128.62
  4. Step 4: Simplify right side
    2,773.98x = 4,692,070.14
  5. Step 5: Solve for x
    x = 4,692,070.14/2,773.98
  6. Step 6: Final answer
    x = 1,691.46

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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.