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Finding the Fourth Proportional to 9,909.80, 13,664.22 and 7,919

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Solution

The fourth proportional to 9,909.80, 13,664.22 and 7,919 is: 10,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.80 : 13,664.22 = 7,919 : x
  2. Step 2: Convert to fraction form
    9,909.80/13,664.22 = 7,919/x
  3. Step 3: Cross multiply
    9,909.80x = 13,664.22 × 7,919
  4. Step 4: Simplify right side
    9,909.80x = 108,206,958.18
  5. Step 5: Solve for x
    x = 108,206,958.18/9,909.80
  6. Step 6: Final answer
    x = 10,919.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.