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Finding the Fourth Proportional to 8,778.14, 13,214.90 and 7,874

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Solution

The fourth proportional to 8,778.14, 13,214.90 and 7,874 is: 11,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.14 : 13,214.90 = 7,874 : x
  2. Step 2: Convert to fraction form
    8,778.14/13,214.90 = 7,874/x
  3. Step 3: Cross multiply
    8,778.14x = 13,214.90 × 7,874
  4. Step 4: Simplify right side
    8,778.14x = 104,054,122.60
  5. Step 5: Solve for x
    x = 104,054,122.60/8,778.14
  6. Step 6: Final answer
    x = 11,853.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.