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Finding the Fourth Proportional to 10,884, 15,020.16 and 5,916

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Solution

The fourth proportional to 10,884, 15,020.16 and 5,916 is: 8,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884 : 15,020.16 = 5,916 : x
  2. Step 2: Convert to fraction form
    10,884/15,020.16 = 5,916/x
  3. Step 3: Cross multiply
    10,884x = 15,020.16 × 5,916
  4. Step 4: Simplify right side
    10,884x = 88,859,266.56
  5. Step 5: Solve for x
    x = 88,859,266.56/10,884
  6. Step 6: Final answer
    x = 8,164.21

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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.