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Finding the Fourth Proportional to 1,965.90, 2,946.96 and 732.81

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Solution

The fourth proportional to 1,965.90, 2,946.96 and 732.81 is: 1,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.90 : 2,946.96 = 732.81 : x
  2. Step 2: Convert to fraction form
    1,965.90/2,946.96 = 732.81/x
  3. Step 3: Cross multiply
    1,965.90x = 2,946.96 × 732.81
  4. Step 4: Simplify right side
    1,965.90x = 2,159,561.76
  5. Step 5: Solve for x
    x = 2,159,561.76/1,965.90
  6. Step 6: Final answer
    x = 1,098.51

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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.