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Finding the Fourth Proportional to 9,991.35, 13,801.19 and 7,662.20

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Solution

The fourth proportional to 9,991.35, 13,801.19 and 7,662.20 is: 10,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.35 : 13,801.19 = 7,662.20 : x
  2. Step 2: Convert to fraction form
    9,991.35/13,801.19 = 7,662.20/x
  3. Step 3: Cross multiply
    9,991.35x = 13,801.19 × 7,662.20
  4. Step 4: Simplify right side
    9,991.35x = 105,747,370.70
  5. Step 5: Solve for x
    x = 105,747,370.70/9,991.35
  6. Step 6: Final answer
    x = 10,583.89

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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.