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Finding the Fourth Proportional to 2,741.52, 4,113.63 and 1,280.46

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Solution

The fourth proportional to 2,741.52, 4,113.63 and 1,280.46 is: 1,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.52 : 4,113.63 = 1,280.46 : x
  2. Step 2: Convert to fraction form
    2,741.52/4,113.63 = 1,280.46/x
  3. Step 3: Cross multiply
    2,741.52x = 4,113.63 × 1,280.46
  4. Step 4: Simplify right side
    2,741.52x = 5,267,338.67
  5. Step 5: Solve for x
    x = 5,267,338.67/2,741.52
  6. Step 6: Final answer
    x = 1,921.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.