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Finding the Fourth Proportional to 3,251.25, 4,876.06 and 910.65

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Solution

The fourth proportional to 3,251.25, 4,876.06 and 910.65 is: 1,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.25 : 4,876.06 = 910.65 : x
  2. Step 2: Convert to fraction form
    3,251.25/4,876.06 = 910.65/x
  3. Step 3: Cross multiply
    3,251.25x = 4,876.06 × 910.65
  4. Step 4: Simplify right side
    3,251.25x = 4,440,374.33
  5. Step 5: Solve for x
    x = 4,440,374.33/3,251.25
  6. Step 6: Final answer
    x = 1,365.74

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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.