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Finding the Fourth Proportional to 13,787.44, 20,693.10 and 7,218.22

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Solution

The fourth proportional to 13,787.44, 20,693.10 and 7,218.22 is: 10,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.44 : 20,693.10 = 7,218.22 : x
  2. Step 2: Convert to fraction form
    13,787.44/20,693.10 = 7,218.22/x
  3. Step 3: Cross multiply
    13,787.44x = 20,693.10 × 7,218.22
  4. Step 4: Simplify right side
    13,787.44x = 149,367,348.28
  5. Step 5: Solve for x
    x = 149,367,348.28/13,787.44
  6. Step 6: Final answer
    x = 10,833.58

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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.