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Finding the Fourth Proportional to 4,758, 7,137.45 and 1,637.88

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Solution

The fourth proportional to 4,758, 7,137.45 and 1,637.88 is: 2,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758 : 7,137.45 = 1,637.88 : x
  2. Step 2: Convert to fraction form
    4,758/7,137.45 = 1,637.88/x
  3. Step 3: Cross multiply
    4,758x = 7,137.45 × 1,637.88
  4. Step 4: Simplify right side
    4,758x = 11,690,286.61
  5. Step 5: Solve for x
    x = 11,690,286.61/4,758
  6. Step 6: Final answer
    x = 2,456.97

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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.