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Finding the Fourth Proportional to 3,101.52, 4,652.19 and 910.29

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Solution

The fourth proportional to 3,101.52, 4,652.19 and 910.29 is: 1,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.52 : 4,652.19 = 910.29 : x
  2. Step 2: Convert to fraction form
    3,101.52/4,652.19 = 910.29/x
  3. Step 3: Cross multiply
    3,101.52x = 4,652.19 × 910.29
  4. Step 4: Simplify right side
    3,101.52x = 4,234,842.04
  5. Step 5: Solve for x
    x = 4,234,842.04/3,101.52
  6. Step 6: Final answer
    x = 1,365.41

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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.