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Finding the Fourth Proportional to 8,290.81, 12,419.56 and 4,118.20

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Solution

The fourth proportional to 8,290.81, 12,419.56 and 4,118.20 is: 6,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.81 : 12,419.56 = 4,118.20 : x
  2. Step 2: Convert to fraction form
    8,290.81/12,419.56 = 4,118.20/x
  3. Step 3: Cross multiply
    8,290.81x = 12,419.56 × 4,118.20
  4. Step 4: Simplify right side
    8,290.81x = 51,146,231.99
  5. Step 5: Solve for x
    x = 51,146,231.99/8,290.81
  6. Step 6: Final answer
    x = 6,169.03

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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.