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Finding the Fourth Proportional to 13,743, 18,963.18 and 7,772.76

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Solution

The fourth proportional to 13,743, 18,963.18 and 7,772.76 is: 10,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743 : 18,963.18 = 7,772.76 : x
  2. Step 2: Convert to fraction form
    13,743/18,963.18 = 7,772.76/x
  3. Step 3: Cross multiply
    13,743x = 18,963.18 × 7,772.76
  4. Step 4: Simplify right side
    13,743x = 147,396,246.98
  5. Step 5: Solve for x
    x = 147,396,246.98/13,743
  6. Step 6: Final answer
    x = 10,725.19

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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.