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Finding the Fourth Proportional to 5,274.78, 7,912.16 and 1,988.61

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Solution

The fourth proportional to 5,274.78, 7,912.16 and 1,988.61 is: 2,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.78 : 7,912.16 = 1,988.61 : x
  2. Step 2: Convert to fraction form
    5,274.78/7,912.16 = 1,988.61/x
  3. Step 3: Cross multiply
    5,274.78x = 7,912.16 × 1,988.61
  4. Step 4: Simplify right side
    5,274.78x = 15,734,200.50
  5. Step 5: Solve for x
    x = 15,734,200.50/5,274.78
  6. Step 6: Final answer
    x = 2,982.91

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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.