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Finding the Fourth Proportional to 7,919.92, 11,878.80 and 2,076.58

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Solution

The fourth proportional to 7,919.92, 11,878.80 and 2,076.58 is: 3,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.92 : 11,878.80 = 2,076.58 : x
  2. Step 2: Convert to fraction form
    7,919.92/11,878.80 = 2,076.58/x
  3. Step 3: Cross multiply
    7,919.92x = 11,878.80 × 2,076.58
  4. Step 4: Simplify right side
    7,919.92x = 24,667,278.50
  5. Step 5: Solve for x
    x = 24,667,278.50/7,919.92
  6. Step 6: Final answer
    x = 3,114.59

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1.5x scale

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.