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Finding the Fourth Proportional to 10,812, 16,219.08 and 3,020.88

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Solution

The fourth proportional to 10,812, 16,219.08 and 3,020.88 is: 4,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812 : 16,219.08 = 3,020.88 : x
  2. Step 2: Convert to fraction form
    10,812/16,219.08 = 3,020.88/x
  3. Step 3: Cross multiply
    10,812x = 16,219.08 × 3,020.88
  4. Step 4: Simplify right side
    10,812x = 48,995,894.39
  5. Step 5: Solve for x
    x = 48,995,894.39/10,812
  6. Step 6: Final answer
    x = 4,531.62

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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.