Home / 10,975-16,462.68-3,184.60

Finding the Fourth Proportional to 10,975, 16,462.68 and 3,184.60

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Solution

The fourth proportional to 10,975, 16,462.68 and 3,184.60 is: 4,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975 : 16,462.68 = 3,184.60 : x
  2. Step 2: Convert to fraction form
    10,975/16,462.68 = 3,184.60/x
  3. Step 3: Cross multiply
    10,975x = 16,462.68 × 3,184.60
  4. Step 4: Simplify right side
    10,975x = 52,427,050.73
  5. Step 5: Solve for x
    x = 52,427,050.73/10,975
  6. Step 6: Final answer
    x = 4,776.95

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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.