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Finding the Fourth Proportional to 3,309.92, 4,961.12 and 1,359.84

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Solution

The fourth proportional to 3,309.92, 4,961.12 and 1,359.84 is: 2,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.92 : 4,961.12 = 1,359.84 : x
  2. Step 2: Convert to fraction form
    3,309.92/4,961.12 = 1,359.84/x
  3. Step 3: Cross multiply
    3,309.92x = 4,961.12 × 1,359.84
  4. Step 4: Simplify right side
    3,309.92x = 6,746,329.42
  5. Step 5: Solve for x
    x = 6,746,329.42/3,309.92
  6. Step 6: Final answer
    x = 2,038.22

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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.