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Finding the Fourth Proportional to 25,965.20, 38,947.78 and 6,243.75

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Solution

The fourth proportional to 25,965.20, 38,947.78 and 6,243.75 is: 9,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965.20 : 38,947.78 = 6,243.75 : x
  2. Step 2: Convert to fraction form
    25,965.20/38,947.78 = 6,243.75/x
  3. Step 3: Cross multiply
    25,965.20x = 38,947.78 × 6,243.75
  4. Step 4: Simplify right side
    25,965.20x = 243,180,170.16
  5. Step 5: Solve for x
    x = 243,180,170.16/25,965.20
  6. Step 6: Final answer
    x = 9,365.62

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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.