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Finding the Fourth Proportional to 13,407.78, 20,112.02 and 5,086.24

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Solution

The fourth proportional to 13,407.78, 20,112.02 and 5,086.24 is: 7,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.78 : 20,112.02 = 5,086.24 : x
  2. Step 2: Convert to fraction form
    13,407.78/20,112.02 = 5,086.24/x
  3. Step 3: Cross multiply
    13,407.78x = 20,112.02 × 5,086.24
  4. Step 4: Simplify right side
    13,407.78x = 102,294,560.60
  5. Step 5: Solve for x
    x = 102,294,560.60/13,407.78
  6. Step 6: Final answer
    x = 7,629.49

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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.