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Finding the Fourth Proportional to 25,882.80, 38,843.40 and 10,311.60

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Solution

The fourth proportional to 25,882.80, 38,843.40 and 10,311.60 is: 15,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.80 : 38,843.40 = 10,311.60 : x
  2. Step 2: Convert to fraction form
    25,882.80/38,843.40 = 10,311.60/x
  3. Step 3: Cross multiply
    25,882.80x = 38,843.40 × 10,311.60
  4. Step 4: Simplify right side
    25,882.80x = 400,537,603.44
  5. Step 5: Solve for x
    x = 400,537,603.44/25,882.80
  6. Step 6: Final answer
    x = 15,475.05

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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.