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Finding the Fourth Proportional to 25,477.25, 38,222.37 and 7,947.23

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Solution

The fourth proportional to 25,477.25, 38,222.37 and 7,947.23 is: 11,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.25 : 38,222.37 = 7,947.23 : x
  2. Step 2: Convert to fraction form
    25,477.25/38,222.37 = 7,947.23/x
  3. Step 3: Cross multiply
    25,477.25x = 38,222.37 × 7,947.23
  4. Step 4: Simplify right side
    25,477.25x = 303,761,774.42
  5. Step 5: Solve for x
    x = 303,761,774.42/25,477.25
  6. Step 6: Final answer
    x = 11,922.87

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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.