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Finding the Fourth Proportional to 8,290.92, 12,435.96 and 3,096.40

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Solution

The fourth proportional to 8,290.92, 12,435.96 and 3,096.40 is: 4,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.92 : 12,435.96 = 3,096.40 : x
  2. Step 2: Convert to fraction form
    8,290.92/12,435.96 = 3,096.40/x
  3. Step 3: Cross multiply
    8,290.92x = 12,435.96 × 3,096.40
  4. Step 4: Simplify right side
    8,290.92x = 38,506,706.54
  5. Step 5: Solve for x
    x = 38,506,706.54/8,290.92
  6. Step 6: Final answer
    x = 4,644.44

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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.