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Finding the Fourth Proportional to 5,079.68, 7,616.96 and 2,000

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Solution

The fourth proportional to 5,079.68, 7,616.96 and 2,000 is: 2,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,079.68 : 7,616.96 = 2,000 : x
  2. Step 2: Convert to fraction form
    5,079.68/7,616.96 = 2,000/x
  3. Step 3: Cross multiply
    5,079.68x = 7,616.96 × 2,000
  4. Step 4: Simplify right side
    5,079.68x = 15,233,920
  5. Step 5: Solve for x
    x = 15,233,920/5,079.68
  6. Step 6: Final answer
    x = 2,998.99

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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.