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Finding the Fourth Proportional to 9,991.71, 14,982.90 and 2,969.14

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Solution

The fourth proportional to 9,991.71, 14,982.90 and 2,969.14 is: 4,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.71 : 14,982.90 = 2,969.14 : x
  2. Step 2: Convert to fraction form
    9,991.71/14,982.90 = 2,969.14/x
  3. Step 3: Cross multiply
    9,991.71x = 14,982.90 × 2,969.14
  4. Step 4: Simplify right side
    9,991.71x = 44,486,327.71
  5. Step 5: Solve for x
    x = 44,486,327.71/9,991.71
  6. Step 6: Final answer
    x = 4,452.33

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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.