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Finding the Fourth Proportional to 2,982.70, 4,472.70 and 1,133.20

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Solution

The fourth proportional to 2,982.70, 4,472.70 and 1,133.20 is: 1,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.70 : 4,472.70 = 1,133.20 : x
  2. Step 2: Convert to fraction form
    2,982.70/4,472.70 = 1,133.20/x
  3. Step 3: Cross multiply
    2,982.70x = 4,472.70 × 1,133.20
  4. Step 4: Simplify right side
    2,982.70x = 5,068,463.64
  5. Step 5: Solve for x
    x = 5,068,463.64/2,982.70
  6. Step 6: Final answer
    x = 1,699.29

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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.