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Finding the Fourth Proportional to 2,168.76, 2,993.68 and 2,005.14

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Solution

The fourth proportional to 2,168.76, 2,993.68 and 2,005.14 is: 2,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.76 : 2,993.68 = 2,005.14 : x
  2. Step 2: Convert to fraction form
    2,168.76/2,993.68 = 2,005.14/x
  3. Step 3: Cross multiply
    2,168.76x = 2,993.68 × 2,005.14
  4. Step 4: Simplify right side
    2,168.76x = 6,002,747.52
  5. Step 5: Solve for x
    x = 6,002,747.52/2,168.76
  6. Step 6: Final answer
    x = 2,767.82

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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.