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Finding the Fourth Proportional to 13,212.15, 18,232.56 and 7,243.87

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Solution

The fourth proportional to 13,212.15, 18,232.56 and 7,243.87 is: 9,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.15 : 18,232.56 = 7,243.87 : x
  2. Step 2: Convert to fraction form
    13,212.15/18,232.56 = 7,243.87/x
  3. Step 3: Cross multiply
    13,212.15x = 18,232.56 × 7,243.87
  4. Step 4: Simplify right side
    13,212.15x = 132,074,294.41
  5. Step 5: Solve for x
    x = 132,074,294.41/13,212.15
  6. Step 6: Final answer
    x = 9,996.43

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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.