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Finding the Fourth Proportional to 2,572.72, 3,550.42 and 1,577.42

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Solution

The fourth proportional to 2,572.72, 3,550.42 and 1,577.42 is: 2,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.72 : 3,550.42 = 1,577.42 : x
  2. Step 2: Convert to fraction form
    2,572.72/3,550.42 = 1,577.42/x
  3. Step 3: Cross multiply
    2,572.72x = 3,550.42 × 1,577.42
  4. Step 4: Simplify right side
    2,572.72x = 5,600,486.75
  5. Step 5: Solve for x
    x = 5,600,486.75/2,572.72
  6. Step 6: Final answer
    x = 2,176.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.