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Finding the Fourth Proportional to 10,775, 16,162.50 and 3,479

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Solution

The fourth proportional to 10,775, 16,162.50 and 3,479 is: 5,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775 : 16,162.50 = 3,479 : x
  2. Step 2: Convert to fraction form
    10,775/16,162.50 = 3,479/x
  3. Step 3: Cross multiply
    10,775x = 16,162.50 × 3,479
  4. Step 4: Simplify right side
    10,775x = 56,229,337.50
  5. Step 5: Solve for x
    x = 56,229,337.50/10,775
  6. Step 6: Final answer
    x = 5,218.50

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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.