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Finding the Fourth Proportional to 13,863.68, 20,802 and 8,025.20

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Solution

The fourth proportional to 13,863.68, 20,802 and 8,025.20 is: 12,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.68 : 20,802 = 8,025.20 : x
  2. Step 2: Convert to fraction form
    13,863.68/20,802 = 8,025.20/x
  3. Step 3: Cross multiply
    13,863.68x = 20,802 × 8,025.20
  4. Step 4: Simplify right side
    13,863.68x = 166,940,210.40
  5. Step 5: Solve for x
    x = 166,940,210.40/13,863.68
  6. Step 6: Final answer
    x = 12,041.55

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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.