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Finding the Fourth Proportional to 10,991.78, 16,490.55 and 4,837.22

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Solution

The fourth proportional to 10,991.78, 16,490.55 and 4,837.22 is: 7,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.78 : 16,490.55 = 4,837.22 : x
  2. Step 2: Convert to fraction form
    10,991.78/16,490.55 = 4,837.22/x
  3. Step 3: Cross multiply
    10,991.78x = 16,490.55 × 4,837.22
  4. Step 4: Simplify right side
    10,991.78x = 79,768,418.27
  5. Step 5: Solve for x
    x = 79,768,418.27/10,991.78
  6. Step 6: Final answer
    x = 7,257.10

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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.