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Finding the Fourth Proportional to 8,276.74, 12,410.40 and 2,728.57

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Solution

The fourth proportional to 8,276.74, 12,410.40 and 2,728.57 is: 4,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.74 : 12,410.40 = 2,728.57 : x
  2. Step 2: Convert to fraction form
    8,276.74/12,410.40 = 2,728.57/x
  3. Step 3: Cross multiply
    8,276.74x = 12,410.40 × 2,728.57
  4. Step 4: Simplify right side
    8,276.74x = 33,862,645.13
  5. Step 5: Solve for x
    x = 33,862,645.13/8,276.74
  6. Step 6: Final answer
    x = 4,091.30

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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.