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Finding the Fourth Proportional to 25,675.75, 38,520.11 and 7,207.75

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Solution

The fourth proportional to 25,675.75, 38,520.11 and 7,207.75 is: 10,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.75 : 38,520.11 = 7,207.75 : x
  2. Step 2: Convert to fraction form
    25,675.75/38,520.11 = 7,207.75/x
  3. Step 3: Cross multiply
    25,675.75x = 38,520.11 × 7,207.75
  4. Step 4: Simplify right side
    25,675.75x = 277,643,322.85
  5. Step 5: Solve for x
    x = 277,643,322.85/25,675.75
  6. Step 6: Final answer
    x = 10,813.45

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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.