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Finding the Fourth Proportional to 13,651.40, 20,481.46 and 6,984.90

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Solution

The fourth proportional to 13,651.40, 20,481.46 and 6,984.90 is: 10,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.40 : 20,481.46 = 6,984.90 : x
  2. Step 2: Convert to fraction form
    13,651.40/20,481.46 = 6,984.90/x
  3. Step 3: Cross multiply
    13,651.40x = 20,481.46 × 6,984.90
  4. Step 4: Simplify right side
    13,651.40x = 143,060,932.49
  5. Step 5: Solve for x
    x = 143,060,932.49/13,651.40
  6. Step 6: Final answer
    x = 10,479.58

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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.