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Finding the Fourth Proportional to 2,166.65, 3,249.97 and 934.03

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Solution

The fourth proportional to 2,166.65, 3,249.97 and 934.03 is: 1,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.65 : 3,249.97 = 934.03 : x
  2. Step 2: Convert to fraction form
    2,166.65/3,249.97 = 934.03/x
  3. Step 3: Cross multiply
    2,166.65x = 3,249.97 × 934.03
  4. Step 4: Simplify right side
    2,166.65x = 3,035,576.46
  5. Step 5: Solve for x
    x = 3,035,576.46/2,166.65
  6. Step 6: Final answer
    x = 1,401.05

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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.