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Finding the Fourth Proportional to 10,774.80, 16,162.20 and 7,494.30

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Solution

The fourth proportional to 10,774.80, 16,162.20 and 7,494.30 is: 11,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.80 : 16,162.20 = 7,494.30 : x
  2. Step 2: Convert to fraction form
    10,774.80/16,162.20 = 7,494.30/x
  3. Step 3: Cross multiply
    10,774.80x = 16,162.20 × 7,494.30
  4. Step 4: Simplify right side
    10,774.80x = 121,124,375.46
  5. Step 5: Solve for x
    x = 121,124,375.46/10,774.80
  6. Step 6: Final answer
    x = 11,241.45

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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.