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Finding the Fourth Proportional to 7,161.12, 10,741.97 and 1,966.99

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Solution

The fourth proportional to 7,161.12, 10,741.97 and 1,966.99 is: 2,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.12 : 10,741.97 = 1,966.99 : x
  2. Step 2: Convert to fraction form
    7,161.12/10,741.97 = 1,966.99/x
  3. Step 3: Cross multiply
    7,161.12x = 10,741.97 × 1,966.99
  4. Step 4: Simplify right side
    7,161.12x = 21,129,347.57
  5. Step 5: Solve for x
    x = 21,129,347.57/7,161.12
  6. Step 6: Final answer
    x = 2,950.56

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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.