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Finding the Fourth Proportional to 25,644.70, 38,463.20 and 8,112.25

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Solution

The fourth proportional to 25,644.70, 38,463.20 and 8,112.25 is: 12,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644.70 : 38,463.20 = 8,112.25 : x
  2. Step 2: Convert to fraction form
    25,644.70/38,463.20 = 8,112.25/x
  3. Step 3: Cross multiply
    25,644.70x = 38,463.20 × 8,112.25
  4. Step 4: Simplify right side
    25,644.70x = 312,023,094.20
  5. Step 5: Solve for x
    x = 312,023,094.20/25,644.70
  6. Step 6: Final answer
    x = 12,167.16

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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.