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Finding the Fourth Proportional to 8,274.60, 12,410.43 and 2,728.02

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Solution

The fourth proportional to 8,274.60, 12,410.43 and 2,728.02 is: 4,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.60 : 12,410.43 = 2,728.02 : x
  2. Step 2: Convert to fraction form
    8,274.60/12,410.43 = 2,728.02/x
  3. Step 3: Cross multiply
    8,274.60x = 12,410.43 × 2,728.02
  4. Step 4: Simplify right side
    8,274.60x = 33,855,901.25
  5. Step 5: Solve for x
    x = 33,855,901.25/8,274.60
  6. Step 6: Final answer
    x = 4,091.55

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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.