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Finding the Fourth Proportional to 9,793.09, 14,689.97 and 3,219.78

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Solution

The fourth proportional to 9,793.09, 14,689.97 and 3,219.78 is: 4,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.09 : 14,689.97 = 3,219.78 : x
  2. Step 2: Convert to fraction form
    9,793.09/14,689.97 = 3,219.78/x
  3. Step 3: Cross multiply
    9,793.09x = 14,689.97 × 3,219.78
  4. Step 4: Simplify right side
    9,793.09x = 47,298,471.61
  5. Step 5: Solve for x
    x = 47,298,471.61/9,793.09
  6. Step 6: Final answer
    x = 4,829.78

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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.