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Finding the Fourth Proportional to 13,743.15, 18,963.95 and 7,693.73

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Solution

The fourth proportional to 13,743.15, 18,963.95 and 7,693.73 is: 10,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.15 : 18,963.95 = 7,693.73 : x
  2. Step 2: Convert to fraction form
    13,743.15/18,963.95 = 7,693.73/x
  3. Step 3: Cross multiply
    13,743.15x = 18,963.95 × 7,693.73
  4. Step 4: Simplify right side
    13,743.15x = 145,903,416.21
  5. Step 5: Solve for x
    x = 145,903,416.21/13,743.15
  6. Step 6: Final answer
    x = 10,616.44

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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.