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Finding the Fourth Proportional to 8,290, 12,438.48 and 3,363.16

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Solution

The fourth proportional to 8,290, 12,438.48 and 3,363.16 is: 5,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290 : 12,438.48 = 3,363.16 : x
  2. Step 2: Convert to fraction form
    8,290/12,438.48 = 3,363.16/x
  3. Step 3: Cross multiply
    8,290x = 12,438.48 × 3,363.16
  4. Step 4: Simplify right side
    8,290x = 41,832,598.40
  5. Step 5: Solve for x
    x = 41,832,598.40/8,290
  6. Step 6: Final answer
    x = 5,046.15

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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.