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Finding the Fourth Proportional to 13,866.88, 20,800.32 and 6,469.12

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Solution

The fourth proportional to 13,866.88, 20,800.32 and 6,469.12 is: 9,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.88 : 20,800.32 = 6,469.12 : x
  2. Step 2: Convert to fraction form
    13,866.88/20,800.32 = 6,469.12/x
  3. Step 3: Cross multiply
    13,866.88x = 20,800.32 × 6,469.12
  4. Step 4: Simplify right side
    13,866.88x = 134,559,766.12
  5. Step 5: Solve for x
    x = 134,559,766.12/13,866.88
  6. Step 6: Final answer
    x = 9,703.68

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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.