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Finding the Fourth Proportional to 20,808.53, 28,715.79 and 11,856

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Solution

The fourth proportional to 20,808.53, 28,715.79 and 11,856 is: 16,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.53 : 28,715.79 = 11,856 : x
  2. Step 2: Convert to fraction form
    20,808.53/28,715.79 = 11,856/x
  3. Step 3: Cross multiply
    20,808.53x = 28,715.79 × 11,856
  4. Step 4: Simplify right side
    20,808.53x = 340,454,346.96
  5. Step 5: Solve for x
    x = 340,454,346.96/20,808.53
  6. Step 6: Final answer
    x = 16,361.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.