Home / 7,982.64-11,966.10-2,981.34

Finding the Fourth Proportional to 7,982.64, 11,966.10 and 2,981.34

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Solution

The fourth proportional to 7,982.64, 11,966.10 and 2,981.34 is: 4,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.64 : 11,966.10 = 2,981.34 : x
  2. Step 2: Convert to fraction form
    7,982.64/11,966.10 = 2,981.34/x
  3. Step 3: Cross multiply
    7,982.64x = 11,966.10 × 2,981.34
  4. Step 4: Simplify right side
    7,982.64x = 35,675,012.57
  5. Step 5: Solve for x
    x = 35,675,012.57/7,982.64
  6. Step 6: Final answer
    x = 4,469.07

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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.