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Finding the Fourth Proportional to 8,094.88, 12,142.80 and 2,548.40

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Solution

The fourth proportional to 8,094.88, 12,142.80 and 2,548.40 is: 3,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.88 : 12,142.80 = 2,548.40 : x
  2. Step 2: Convert to fraction form
    8,094.88/12,142.80 = 2,548.40/x
  3. Step 3: Cross multiply
    8,094.88x = 12,142.80 × 2,548.40
  4. Step 4: Simplify right side
    8,094.88x = 30,944,711.52
  5. Step 5: Solve for x
    x = 30,944,711.52/8,094.88
  6. Step 6: Final answer
    x = 3,822.75

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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.