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Finding the Fourth Proportional to 2,097.78, 3,147.28 and 927.74

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Solution

The fourth proportional to 2,097.78, 3,147.28 and 927.74 is: 1,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.78 : 3,147.28 = 927.74 : x
  2. Step 2: Convert to fraction form
    2,097.78/3,147.28 = 927.74/x
  3. Step 3: Cross multiply
    2,097.78x = 3,147.28 × 927.74
  4. Step 4: Simplify right side
    2,097.78x = 2,919,839.49
  5. Step 5: Solve for x
    x = 2,919,839.49/2,097.78
  6. Step 6: Final answer
    x = 1,391.87

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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.