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Finding the Fourth Proportional to 19,600.80, 29,400.80 and 6,447.84

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Solution

The fourth proportional to 19,600.80, 29,400.80 and 6,447.84 is: 9,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600.80 : 29,400.80 = 6,447.84 : x
  2. Step 2: Convert to fraction form
    19,600.80/29,400.80 = 6,447.84/x
  3. Step 3: Cross multiply
    19,600.80x = 29,400.80 × 6,447.84
  4. Step 4: Simplify right side
    19,600.80x = 189,571,654.27
  5. Step 5: Solve for x
    x = 189,571,654.27/19,600.80
  6. Step 6: Final answer
    x = 9,671.63

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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.