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Finding the Fourth Proportional to 12,281.14, 18,422.61 and 5,254.30

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Solution

The fourth proportional to 12,281.14, 18,422.61 and 5,254.30 is: 7,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.14 : 18,422.61 = 5,254.30 : x
  2. Step 2: Convert to fraction form
    12,281.14/18,422.61 = 5,254.30/x
  3. Step 3: Cross multiply
    12,281.14x = 18,422.61 × 5,254.30
  4. Step 4: Simplify right side
    12,281.14x = 96,797,919.72
  5. Step 5: Solve for x
    x = 96,797,919.72/12,281.14
  6. Step 6: Final answer
    x = 7,881.84

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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.