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Finding the Fourth Proportional to 1,825.50, 2,519.19 and 997.50

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Solution

The fourth proportional to 1,825.50, 2,519.19 and 997.50 is: 1,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.50 : 2,519.19 = 997.50 : x
  2. Step 2: Convert to fraction form
    1,825.50/2,519.19 = 997.50/x
  3. Step 3: Cross multiply
    1,825.50x = 2,519.19 × 997.50
  4. Step 4: Simplify right side
    1,825.50x = 2,512,892.03
  5. Step 5: Solve for x
    x = 2,512,892.03/1,825.50
  6. Step 6: Final answer
    x = 1,376.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.