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Finding the Fourth Proportional to 2,992.87, 4,489.31 and 2,478.79

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Solution

The fourth proportional to 2,992.87, 4,489.31 and 2,478.79 is: 3,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.87 : 4,489.31 = 2,478.79 : x
  2. Step 2: Convert to fraction form
    2,992.87/4,489.31 = 2,478.79/x
  3. Step 3: Cross multiply
    2,992.87x = 4,489.31 × 2,478.79
  4. Step 4: Simplify right side
    2,992.87x = 11,128,056.73
  5. Step 5: Solve for x
    x = 11,128,056.73/2,992.87
  6. Step 6: Final answer
    x = 3,718.19

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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.