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Finding the Fourth Proportional to 12,632.14, 18,946.95 and 3,867.13

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Solution

The fourth proportional to 12,632.14, 18,946.95 and 3,867.13 is: 5,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.14 : 18,946.95 = 3,867.13 : x
  2. Step 2: Convert to fraction form
    12,632.14/18,946.95 = 3,867.13/x
  3. Step 3: Cross multiply
    12,632.14x = 18,946.95 × 3,867.13
  4. Step 4: Simplify right side
    12,632.14x = 73,270,318.75
  5. Step 5: Solve for x
    x = 73,270,318.75/12,632.14
  6. Step 6: Final answer
    x = 5,800.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.