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Finding the Fourth Proportional to 12,534.63, 18,801.81 and 3,769.17

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Solution

The fourth proportional to 12,534.63, 18,801.81 and 3,769.17 is: 5,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.63 : 18,801.81 = 3,769.17 : x
  2. Step 2: Convert to fraction form
    12,534.63/18,801.81 = 3,769.17/x
  3. Step 3: Cross multiply
    12,534.63x = 18,801.81 × 3,769.17
  4. Step 4: Simplify right side
    12,534.63x = 70,867,218.20
  5. Step 5: Solve for x
    x = 70,867,218.20/12,534.63
  6. Step 6: Final answer
    x = 5,653.71

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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.