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Finding the Fourth Proportional to 11,767.76, 17,651.12 and 7,141.04

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Solution

The fourth proportional to 11,767.76, 17,651.12 and 7,141.04 is: 10,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.76 : 17,651.12 = 7,141.04 : x
  2. Step 2: Convert to fraction form
    11,767.76/17,651.12 = 7,141.04/x
  3. Step 3: Cross multiply
    11,767.76x = 17,651.12 × 7,141.04
  4. Step 4: Simplify right side
    11,767.76x = 126,047,353.96
  5. Step 5: Solve for x
    x = 126,047,353.96/11,767.76
  6. Step 6: Final answer
    x = 10,711.24

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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.