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Finding the Fourth Proportional to 8,209, 12,313.50 and 3,280.84

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Solution

The fourth proportional to 8,209, 12,313.50 and 3,280.84 is: 4,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209 : 12,313.50 = 3,280.84 : x
  2. Step 2: Convert to fraction form
    8,209/12,313.50 = 3,280.84/x
  3. Step 3: Cross multiply
    8,209x = 12,313.50 × 3,280.84
  4. Step 4: Simplify right side
    8,209x = 40,398,623.34
  5. Step 5: Solve for x
    x = 40,398,623.34/8,209
  6. Step 6: Final answer
    x = 4,921.26

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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.