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Finding the Fourth Proportional to 11,555.46, 17,299.17 and 7,158.78

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Solution

The fourth proportional to 11,555.46, 17,299.17 and 7,158.78 is: 10,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.46 : 17,299.17 = 7,158.78 : x
  2. Step 2: Convert to fraction form
    11,555.46/17,299.17 = 7,158.78/x
  3. Step 3: Cross multiply
    11,555.46x = 17,299.17 × 7,158.78
  4. Step 4: Simplify right side
    11,555.46x = 123,840,952.21
  5. Step 5: Solve for x
    x = 123,840,952.21/11,555.46
  6. Step 6: Final answer
    x = 10,717.09

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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.