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Finding the Fourth Proportional to 8,290, 12,439.88 and 3,673.04

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Solution

The fourth proportional to 8,290, 12,439.88 and 3,673.04 is: 5,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290 : 12,439.88 = 3,673.04 : x
  2. Step 2: Convert to fraction form
    8,290/12,439.88 = 3,673.04/x
  3. Step 3: Cross multiply
    8,290x = 12,439.88 × 3,673.04
  4. Step 4: Simplify right side
    8,290x = 45,692,176.84
  5. Step 5: Solve for x
    x = 45,692,176.84/8,290
  6. Step 6: Final answer
    x = 5,511.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.