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Finding the Fourth Proportional to 9,919.80, 13,687.83 and 6,383.34

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Solution

The fourth proportional to 9,919.80, 13,687.83 and 6,383.34 is: 8,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.80 : 13,687.83 = 6,383.34 : x
  2. Step 2: Convert to fraction form
    9,919.80/13,687.83 = 6,383.34/x
  3. Step 3: Cross multiply
    9,919.80x = 13,687.83 × 6,383.34
  4. Step 4: Simplify right side
    9,919.80x = 87,374,072.75
  5. Step 5: Solve for x
    x = 87,374,072.75/9,919.80
  6. Step 6: Final answer
    x = 8,808.05

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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.