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Finding the Fourth Proportional to 10,813.32, 16,231.32 and 6,869.16

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Solution

The fourth proportional to 10,813.32, 16,231.32 and 6,869.16 is: 10,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.32 : 16,231.32 = 6,869.16 : x
  2. Step 2: Convert to fraction form
    10,813.32/16,231.32 = 6,869.16/x
  3. Step 3: Cross multiply
    10,813.32x = 16,231.32 × 6,869.16
  4. Step 4: Simplify right side
    10,813.32x = 111,495,534.09
  5. Step 5: Solve for x
    x = 111,495,534.09/10,813.32
  6. Step 6: Final answer
    x = 10,310.94

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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.