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Finding the Fourth Proportional to 2,169.41, 2,993.79 and 1,174.70

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Solution

The fourth proportional to 2,169.41, 2,993.79 and 1,174.70 is: 1,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.41 : 2,993.79 = 1,174.70 : x
  2. Step 2: Convert to fraction form
    2,169.41/2,993.79 = 1,174.70/x
  3. Step 3: Cross multiply
    2,169.41x = 2,993.79 × 1,174.70
  4. Step 4: Simplify right side
    2,169.41x = 3,516,805.11
  5. Step 5: Solve for x
    x = 3,516,805.11/2,169.41
  6. Step 6: Final answer
    x = 1,621.09

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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.