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Finding the Fourth Proportional to 13,867.77, 20,806.83 and 8,325.09

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Solution

The fourth proportional to 13,867.77, 20,806.83 and 8,325.09 is: 12,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.77 : 20,806.83 = 8,325.09 : x
  2. Step 2: Convert to fraction form
    13,867.77/20,806.83 = 8,325.09/x
  3. Step 3: Cross multiply
    13,867.77x = 20,806.83 × 8,325.09
  4. Step 4: Simplify right side
    13,867.77x = 173,218,732.36
  5. Step 5: Solve for x
    x = 173,218,732.36/13,867.77
  6. Step 6: Final answer
    x = 12,490.74

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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.