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Finding the Fourth Proportional to 55,275.31, 82,912.97 and 13,722.31

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Solution

The fourth proportional to 55,275.31, 82,912.97 and 13,722.31 is: 20,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,275.31 : 82,912.97 = 13,722.31 : x
  2. Step 2: Convert to fraction form
    55,275.31/82,912.97 = 13,722.31/x
  3. Step 3: Cross multiply
    55,275.31x = 82,912.97 × 13,722.31
  4. Step 4: Simplify right side
    55,275.31x = 1,137,757,408.75
  5. Step 5: Solve for x
    x = 1,137,757,408.75/55,275.31
  6. Step 6: Final answer
    x = 20,583.47

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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.