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Finding the Fourth Proportional to 25,542.45, 38,266.16 and 13,865.49

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Solution

The fourth proportional to 25,542.45, 38,266.16 and 13,865.49 is: 20,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.45 : 38,266.16 = 13,865.49 : x
  2. Step 2: Convert to fraction form
    25,542.45/38,266.16 = 13,865.49/x
  3. Step 3: Cross multiply
    25,542.45x = 38,266.16 × 13,865.49
  4. Step 4: Simplify right side
    25,542.45x = 530,578,989.49
  5. Step 5: Solve for x
    x = 530,578,989.49/25,542.45
  6. Step 6: Final answer
    x = 20,772.44

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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.