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Finding the Fourth Proportional to 5,274.54, 7,282.02 and 3,287.78

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Solution

The fourth proportional to 5,274.54, 7,282.02 and 3,287.78 is: 4,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.54 : 7,282.02 = 3,287.78 : x
  2. Step 2: Convert to fraction form
    5,274.54/7,282.02 = 3,287.78/x
  3. Step 3: Cross multiply
    5,274.54x = 7,282.02 × 3,287.78
  4. Step 4: Simplify right side
    5,274.54x = 23,941,689.70
  5. Step 5: Solve for x
    x = 23,941,689.70/5,274.54
  6. Step 6: Final answer
    x = 4,539.11

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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.