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Finding the Fourth Proportional to 11,855.40, 17,847.39 and 10,822.04

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Solution

The fourth proportional to 11,855.40, 17,847.39 and 10,822.04 is: 16,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.40 : 17,847.39 = 10,822.04 : x
  2. Step 2: Convert to fraction form
    11,855.40/17,847.39 = 10,822.04/x
  3. Step 3: Cross multiply
    11,855.40x = 17,847.39 × 10,822.04
  4. Step 4: Simplify right side
    11,855.40x = 193,145,168.48
  5. Step 5: Solve for x
    x = 193,145,168.48/11,855.40
  6. Step 6: Final answer
    x = 16,291.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.