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Finding the Fourth Proportional to 4,689.28, 7,027.71 and 2,493.28

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Solution

The fourth proportional to 4,689.28, 7,027.71 and 2,493.28 is: 3,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.28 : 7,027.71 = 2,493.28 : x
  2. Step 2: Convert to fraction form
    4,689.28/7,027.71 = 2,493.28/x
  3. Step 3: Cross multiply
    4,689.28x = 7,027.71 × 2,493.28
  4. Step 4: Simplify right side
    4,689.28x = 17,522,048.79
  5. Step 5: Solve for x
    x = 17,522,048.79/4,689.28
  6. Step 6: Final answer
    x = 3,736.62

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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.