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Finding the Fourth Proportional to 10,255.79, 15,383.68 and 7,919.19

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Solution

The fourth proportional to 10,255.79, 15,383.68 and 7,919.19 is: 11,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.79 : 15,383.68 = 7,919.19 : x
  2. Step 2: Convert to fraction form
    10,255.79/15,383.68 = 7,919.19/x
  3. Step 3: Cross multiply
    10,255.79x = 15,383.68 × 7,919.19
  4. Step 4: Simplify right side
    10,255.79x = 121,826,265.02
  5. Step 5: Solve for x
    x = 121,826,265.02/10,255.79
  6. Step 6: Final answer
    x = 11,878.78

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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.