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Finding the Fourth Proportional to 7,191.78, 10,787.80 and 1,997.66

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Solution

The fourth proportional to 7,191.78, 10,787.80 and 1,997.66 is: 2,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.78 : 10,787.80 = 1,997.66 : x
  2. Step 2: Convert to fraction form
    7,191.78/10,787.80 = 1,997.66/x
  3. Step 3: Cross multiply
    7,191.78x = 10,787.80 × 1,997.66
  4. Step 4: Simplify right side
    7,191.78x = 21,550,356.55
  5. Step 5: Solve for x
    x = 21,550,356.55/7,191.78
  6. Step 6: Final answer
    x = 2,996.53

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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.