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Finding the Fourth Proportional to 18,506.40, 27,706.13 and 10,884.71

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Solution

The fourth proportional to 18,506.40, 27,706.13 and 10,884.71 is: 16,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.40 : 27,706.13 = 10,884.71 : x
  2. Step 2: Convert to fraction form
    18,506.40/27,706.13 = 10,884.71/x
  3. Step 3: Cross multiply
    18,506.40x = 27,706.13 × 10,884.71
  4. Step 4: Simplify right side
    18,506.40x = 301,572,997.32
  5. Step 5: Solve for x
    x = 301,572,997.32/18,506.40
  6. Step 6: Final answer
    x = 16,295.61

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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.