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Finding the Fourth Proportional to 3,272.68, 4,909.27 and 1,965.34

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Solution

The fourth proportional to 3,272.68, 4,909.27 and 1,965.34 is: 2,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.68 : 4,909.27 = 1,965.34 : x
  2. Step 2: Convert to fraction form
    3,272.68/4,909.27 = 1,965.34/x
  3. Step 3: Cross multiply
    3,272.68x = 4,909.27 × 1,965.34
  4. Step 4: Simplify right side
    3,272.68x = 9,648,384.70
  5. Step 5: Solve for x
    x = 9,648,384.70/3,272.68
  6. Step 6: Final answer
    x = 2,948.16

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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.