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Finding the Fourth Proportional to 13,847.76, 20,754 and 9,959.76

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Solution

The fourth proportional to 13,847.76, 20,754 and 9,959.76 is: 14,926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.76 : 20,754 = 9,959.76 : x
  2. Step 2: Convert to fraction form
    13,847.76/20,754 = 9,959.76/x
  3. Step 3: Cross multiply
    13,847.76x = 20,754 × 9,959.76
  4. Step 4: Simplify right side
    13,847.76x = 206,704,859.04
  5. Step 5: Solve for x
    x = 206,704,859.04/13,847.76
  6. Step 6: Final answer
    x = 14,926.95

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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.