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Finding the Fourth Proportional to 10,886, 15,022.92 and 5,918

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Solution

The fourth proportional to 10,886, 15,022.92 and 5,918 is: 8,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886 : 15,022.92 = 5,918 : x
  2. Step 2: Convert to fraction form
    10,886/15,022.92 = 5,918/x
  3. Step 3: Cross multiply
    10,886x = 15,022.92 × 5,918
  4. Step 4: Simplify right side
    10,886x = 88,905,640.56
  5. Step 5: Solve for x
    x = 88,905,640.56/10,886
  6. Step 6: Final answer
    x = 8,166.97

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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.