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Finding the Fourth Proportional to 5,287.20, 7,922.55 and 1,998.49

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Solution

The fourth proportional to 5,287.20, 7,922.55 and 1,998.49 is: 2,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.20 : 7,922.55 = 1,998.49 : x
  2. Step 2: Convert to fraction form
    5,287.20/7,922.55 = 1,998.49/x
  3. Step 3: Cross multiply
    5,287.20x = 7,922.55 × 1,998.49
  4. Step 4: Simplify right side
    5,287.20x = 15,833,136.95
  5. Step 5: Solve for x
    x = 15,833,136.95/5,287.20
  6. Step 6: Final answer
    x = 2,994.62

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1.5x scale

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.