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Finding the Fourth Proportional to 13,887.78, 20,832.06 and 6,094.80

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Solution

The fourth proportional to 13,887.78, 20,832.06 and 6,094.80 is: 9,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.78 : 20,832.06 = 6,094.80 : x
  2. Step 2: Convert to fraction form
    13,887.78/20,832.06 = 6,094.80/x
  3. Step 3: Cross multiply
    13,887.78x = 20,832.06 × 6,094.80
  4. Step 4: Simplify right side
    13,887.78x = 126,967,239.29
  5. Step 5: Solve for x
    x = 126,967,239.29/13,887.78
  6. Step 6: Final answer
    x = 9,142.37

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1.5x scale

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.