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Finding the Fourth Proportional to 10,974.20, 16,447.80 and 7,464.20

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Solution

The fourth proportional to 10,974.20, 16,447.80 and 7,464.20 is: 11,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.20 : 16,447.80 = 7,464.20 : x
  2. Step 2: Convert to fraction form
    10,974.20/16,447.80 = 7,464.20/x
  3. Step 3: Cross multiply
    10,974.20x = 16,447.80 × 7,464.20
  4. Step 4: Simplify right side
    10,974.20x = 122,769,668.76
  5. Step 5: Solve for x
    x = 122,769,668.76/10,974.20
  6. Step 6: Final answer
    x = 11,187.12

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1.5x scale

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.