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Finding the Fourth Proportional to 8,290.19, 12,438.52 and 3,096.47

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Solution

The fourth proportional to 8,290.19, 12,438.52 and 3,096.47 is: 4,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.19 : 12,438.52 = 3,096.47 : x
  2. Step 2: Convert to fraction form
    8,290.19/12,438.52 = 3,096.47/x
  3. Step 3: Cross multiply
    8,290.19x = 12,438.52 × 3,096.47
  4. Step 4: Simplify right side
    8,290.19x = 38,515,511.77
  5. Step 5: Solve for x
    x = 38,515,511.77/8,290.19
  6. Step 6: Final answer
    x = 4,645.91

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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.