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Finding the Fourth Proportional to 25,408.26, 38,116.43 and 7,874.46

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Solution

The fourth proportional to 25,408.26, 38,116.43 and 7,874.46 is: 11,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.26 : 38,116.43 = 7,874.46 : x
  2. Step 2: Convert to fraction form
    25,408.26/38,116.43 = 7,874.46/x
  3. Step 3: Cross multiply
    25,408.26x = 38,116.43 × 7,874.46
  4. Step 4: Simplify right side
    25,408.26x = 300,146,303.38
  5. Step 5: Solve for x
    x = 300,146,303.38/25,408.26
  6. Step 6: Final answer
    x = 11,812.94

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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.