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Finding the Fourth Proportional to 13,867.76, 20,805 and 4,634.48

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Solution

The fourth proportional to 13,867.76, 20,805 and 4,634.48 is: 6,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.76 : 20,805 = 4,634.48 : x
  2. Step 2: Convert to fraction form
    13,867.76/20,805 = 4,634.48/x
  3. Step 3: Cross multiply
    13,867.76x = 20,805 × 4,634.48
  4. Step 4: Simplify right side
    13,867.76x = 96,420,356.40
  5. Step 5: Solve for x
    x = 96,420,356.40/13,867.76
  6. Step 6: Final answer
    x = 6,952.84

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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.