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Finding the Fourth Proportional to 5,778, 7,974.72 and 3,294

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Solution

The fourth proportional to 5,778, 7,974.72 and 3,294 is: 4,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778 : 7,974.72 = 3,294 : x
  2. Step 2: Convert to fraction form
    5,778/7,974.72 = 3,294/x
  3. Step 3: Cross multiply
    5,778x = 7,974.72 × 3,294
  4. Step 4: Simplify right side
    5,778x = 26,268,727.68
  5. Step 5: Solve for x
    x = 26,268,727.68/5,778
  6. Step 6: Final answer
    x = 4,546.34

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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.