Home / 2,982-4,472.46-1,133.28

Finding the Fourth Proportional to 2,982, 4,472.46 and 1,133.28

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Solution

The fourth proportional to 2,982, 4,472.46 and 1,133.28 is: 1,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982 : 4,472.46 = 1,133.28 : x
  2. Step 2: Convert to fraction form
    2,982/4,472.46 = 1,133.28/x
  3. Step 3: Cross multiply
    2,982x = 4,472.46 × 1,133.28
  4. Step 4: Simplify right side
    2,982x = 5,068,549.47
  5. Step 5: Solve for x
    x = 5,068,549.47/2,982
  6. Step 6: Final answer
    x = 1,699.71

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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.