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Finding the Fourth Proportional to 38,642.60, 57,968.78 and 13,676.78

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Solution

The fourth proportional to 38,642.60, 57,968.78 and 13,676.78 is: 20,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.60 : 57,968.78 = 13,676.78 : x
  2. Step 2: Convert to fraction form
    38,642.60/57,968.78 = 13,676.78/x
  3. Step 3: Cross multiply
    38,642.60x = 57,968.78 × 13,676.78
  4. Step 4: Simplify right side
    38,642.60x = 792,826,250.93
  5. Step 5: Solve for x
    x = 792,826,250.93/38,642.60
  6. Step 6: Final answer
    x = 20,516.90

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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.