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Finding the Fourth Proportional to 3,269.80, 4,901.10 and 1,709.20

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Solution

The fourth proportional to 3,269.80, 4,901.10 and 1,709.20 is: 2,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.80 : 4,901.10 = 1,709.20 : x
  2. Step 2: Convert to fraction form
    3,269.80/4,901.10 = 1,709.20/x
  3. Step 3: Cross multiply
    3,269.80x = 4,901.10 × 1,709.20
  4. Step 4: Simplify right side
    3,269.80x = 8,376,960.12
  5. Step 5: Solve for x
    x = 8,376,960.12/3,269.80
  6. Step 6: Final answer
    x = 2,561.92

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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.