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Finding the Fourth Proportional to 13,488, 20,226.08 and 6,820.40

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Solution

The fourth proportional to 13,488, 20,226.08 and 6,820.40 is: 10,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488 : 20,226.08 = 6,820.40 : x
  2. Step 2: Convert to fraction form
    13,488/20,226.08 = 6,820.40/x
  3. Step 3: Cross multiply
    13,488x = 20,226.08 × 6,820.40
  4. Step 4: Simplify right side
    13,488x = 137,949,956.03
  5. Step 5: Solve for x
    x = 137,949,956.03/13,488
  6. Step 6: Final answer
    x = 10,227.61

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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.