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Finding the Fourth Proportional to 3,287.29, 4,929.12 and 2,248.46

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Solution

The fourth proportional to 3,287.29, 4,929.12 and 2,248.46 is: 3,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.29 : 4,929.12 = 2,248.46 : x
  2. Step 2: Convert to fraction form
    3,287.29/4,929.12 = 2,248.46/x
  3. Step 3: Cross multiply
    3,287.29x = 4,929.12 × 2,248.46
  4. Step 4: Simplify right side
    3,287.29x = 11,082,929.16
  5. Step 5: Solve for x
    x = 11,082,929.16/3,287.29
  6. Step 6: Final answer
    x = 3,371.45

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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.