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Finding the Fourth Proportional to 25,747.68, 38,620.92 and 8,217.24

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Solution

The fourth proportional to 25,747.68, 38,620.92 and 8,217.24 is: 12,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,747.68 : 38,620.92 = 8,217.24 : x
  2. Step 2: Convert to fraction form
    25,747.68/38,620.92 = 8,217.24/x
  3. Step 3: Cross multiply
    25,747.68x = 38,620.92 × 8,217.24
  4. Step 4: Simplify right side
    25,747.68x = 317,357,368.66
  5. Step 5: Solve for x
    x = 317,357,368.66/25,747.68
  6. Step 6: Final answer
    x = 12,325.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.