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Finding the Fourth Proportional to 1,966.47, 2,949.72 and 732.44

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Solution

The fourth proportional to 1,966.47, 2,949.72 and 732.44 is: 1,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.47 : 2,949.72 = 732.44 : x
  2. Step 2: Convert to fraction form
    1,966.47/2,949.72 = 732.44/x
  3. Step 3: Cross multiply
    1,966.47x = 2,949.72 × 732.44
  4. Step 4: Simplify right side
    1,966.47x = 2,160,492.92
  5. Step 5: Solve for x
    x = 2,160,492.92/1,966.47
  6. Step 6: Final answer
    x = 1,098.67

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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.