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Finding the Fourth Proportional to 1,982.92, 2,972.74 and 749.62

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Solution

The fourth proportional to 1,982.92, 2,972.74 and 749.62 is: 1,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.92 : 2,972.74 = 749.62 : x
  2. Step 2: Convert to fraction form
    1,982.92/2,972.74 = 749.62/x
  3. Step 3: Cross multiply
    1,982.92x = 2,972.74 × 749.62
  4. Step 4: Simplify right side
    1,982.92x = 2,228,425.36
  5. Step 5: Solve for x
    x = 2,228,425.36/1,982.92
  6. Step 6: Final answer
    x = 1,123.81

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1.5x scale

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.