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Finding the Fourth Proportional to 38,482.56, 57,676.67 and 21,856.57

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Solution

The fourth proportional to 38,482.56, 57,676.67 and 21,856.57 is: 32,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482.56 : 57,676.67 = 21,856.57 : x
  2. Step 2: Convert to fraction form
    38,482.56/57,676.67 = 21,856.57/x
  3. Step 3: Cross multiply
    38,482.56x = 57,676.67 × 21,856.57
  4. Step 4: Simplify right side
    38,482.56x = 1,260,614,003.71
  5. Step 5: Solve for x
    x = 1,260,614,003.71/38,482.56
  6. Step 6: Final answer
    x = 32,758.06

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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.