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Finding the Fourth Proportional to 10,811.40, 16,181.10 and 7,841.40

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Solution

The fourth proportional to 10,811.40, 16,181.10 and 7,841.40 is: 11,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.40 : 16,181.10 = 7,841.40 : x
  2. Step 2: Convert to fraction form
    10,811.40/16,181.10 = 7,841.40/x
  3. Step 3: Cross multiply
    10,811.40x = 16,181.10 × 7,841.40
  4. Step 4: Simplify right side
    10,811.40x = 126,882,477.54
  5. Step 5: Solve for x
    x = 126,882,477.54/10,811.40
  6. Step 6: Final answer
    x = 11,735.99

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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.