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Finding the Fourth Proportional to 4,787.92, 7,182.69 and 2,449.45

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Solution

The fourth proportional to 4,787.92, 7,182.69 and 2,449.45 is: 3,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.92 : 7,182.69 = 2,449.45 : x
  2. Step 2: Convert to fraction form
    4,787.92/7,182.69 = 2,449.45/x
  3. Step 3: Cross multiply
    4,787.92x = 7,182.69 × 2,449.45
  4. Step 4: Simplify right side
    4,787.92x = 17,593,622.06
  5. Step 5: Solve for x
    x = 17,593,622.06/4,787.92
  6. Step 6: Final answer
    x = 3,674.59

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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.