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Finding the Fourth Proportional to 10,755.13, 16,114.51 and 5,211.13

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Solution

The fourth proportional to 10,755.13, 16,114.51 and 5,211.13 is: 7,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.13 : 16,114.51 = 5,211.13 : x
  2. Step 2: Convert to fraction form
    10,755.13/16,114.51 = 5,211.13/x
  3. Step 3: Cross multiply
    10,755.13x = 16,114.51 × 5,211.13
  4. Step 4: Simplify right side
    10,755.13x = 83,974,806.50
  5. Step 5: Solve for x
    x = 83,974,806.50/10,755.13
  6. Step 6: Final answer
    x = 7,807.88

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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.