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Finding the Fourth Proportional to 3,400.92, 4,691.72 and 2,280.69

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Solution

The fourth proportional to 3,400.92, 4,691.72 and 2,280.69 is: 3,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.92 : 4,691.72 = 2,280.69 : x
  2. Step 2: Convert to fraction form
    3,400.92/4,691.72 = 2,280.69/x
  3. Step 3: Cross multiply
    3,400.92x = 4,691.72 × 2,280.69
  4. Step 4: Simplify right side
    3,400.92x = 10,700,364.59
  5. Step 5: Solve for x
    x = 10,700,364.59/3,400.92
  6. Step 6: Final answer
    x = 3,146.31

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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.