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Finding the Fourth Proportional to 3,980.68, 5,972.04 and 2,813

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Solution

The fourth proportional to 3,980.68, 5,972.04 and 2,813 is: 4,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.68 : 5,972.04 = 2,813 : x
  2. Step 2: Convert to fraction form
    3,980.68/5,972.04 = 2,813/x
  3. Step 3: Cross multiply
    3,980.68x = 5,972.04 × 2,813
  4. Step 4: Simplify right side
    3,980.68x = 16,799,348.52
  5. Step 5: Solve for x
    x = 16,799,348.52/3,980.68
  6. Step 6: Final answer
    x = 4,220.22

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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.