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Finding the Fourth Proportional to 1,965.40, 2,947.76 and 732.68

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Solution

The fourth proportional to 1,965.40, 2,947.76 and 732.68 is: 1,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.40 : 2,947.76 = 732.68 : x
  2. Step 2: Convert to fraction form
    1,965.40/2,947.76 = 732.68/x
  3. Step 3: Cross multiply
    1,965.40x = 2,947.76 × 732.68
  4. Step 4: Simplify right side
    1,965.40x = 2,159,764.80
  5. Step 5: Solve for x
    x = 2,159,764.80/1,965.40
  6. Step 6: Final answer
    x = 1,098.89

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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.