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Finding the Fourth Proportional to 10,755.78, 16,133.93 and 5,208.09

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Solution

The fourth proportional to 10,755.78, 16,133.93 and 5,208.09 is: 7,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.78 : 16,133.93 = 5,208.09 : x
  2. Step 2: Convert to fraction form
    10,755.78/16,133.93 = 5,208.09/x
  3. Step 3: Cross multiply
    10,755.78x = 16,133.93 × 5,208.09
  4. Step 4: Simplify right side
    10,755.78x = 84,026,959.49
  5. Step 5: Solve for x
    x = 84,026,959.49/10,755.78
  6. Step 6: Final answer
    x = 7,812.26

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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.