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Finding the Fourth Proportional to 2,591.84, 3,577.12 and 1,544.48

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Solution

The fourth proportional to 2,591.84, 3,577.12 and 1,544.48 is: 2,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.84 : 3,577.12 = 1,544.48 : x
  2. Step 2: Convert to fraction form
    2,591.84/3,577.12 = 1,544.48/x
  3. Step 3: Cross multiply
    2,591.84x = 3,577.12 × 1,544.48
  4. Step 4: Simplify right side
    2,591.84x = 5,524,790.30
  5. Step 5: Solve for x
    x = 5,524,790.30/2,591.84
  6. Step 6: Final answer
    x = 2,131.61

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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.