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Finding the Fourth Proportional to 2,666.97, 3,998.02 and 934.65

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Solution

The fourth proportional to 2,666.97, 3,998.02 and 934.65 is: 1,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.97 : 3,998.02 = 934.65 : x
  2. Step 2: Convert to fraction form
    2,666.97/3,998.02 = 934.65/x
  3. Step 3: Cross multiply
    2,666.97x = 3,998.02 × 934.65
  4. Step 4: Simplify right side
    2,666.97x = 3,736,749.39
  5. Step 5: Solve for x
    x = 3,736,749.39/2,666.97
  6. Step 6: Final answer
    x = 1,401.12

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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.