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Finding the Fourth Proportional to 5,274.67, 7,279.78 and 3,036.49

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Solution

The fourth proportional to 5,274.67, 7,279.78 and 3,036.49 is: 4,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.67 : 7,279.78 = 3,036.49 : x
  2. Step 2: Convert to fraction form
    5,274.67/7,279.78 = 3,036.49/x
  3. Step 3: Cross multiply
    5,274.67x = 7,279.78 × 3,036.49
  4. Step 4: Simplify right side
    5,274.67x = 22,104,953.38
  5. Step 5: Solve for x
    x = 22,104,953.38/5,274.67
  6. Step 6: Final answer
    x = 4,190.78

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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.