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Finding the Fourth Proportional to 14,846.78, 20,487.80 and 8,131.12

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Solution

The fourth proportional to 14,846.78, 20,487.80 and 8,131.12 is: 11,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.78 : 20,487.80 = 8,131.12 : x
  2. Step 2: Convert to fraction form
    14,846.78/20,487.80 = 8,131.12/x
  3. Step 3: Cross multiply
    14,846.78x = 20,487.80 × 8,131.12
  4. Step 4: Simplify right side
    14,846.78x = 166,588,729.44
  5. Step 5: Solve for x
    x = 166,588,729.44/14,846.78
  6. Step 6: Final answer
    x = 11,220.53

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1.5x scale

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.