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Finding the Fourth Proportional to 2,133.78, 2,944.80 and 1,294.62

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Solution

The fourth proportional to 2,133.78, 2,944.80 and 1,294.62 is: 1,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.78 : 2,944.80 = 1,294.62 : x
  2. Step 2: Convert to fraction form
    2,133.78/2,944.80 = 1,294.62/x
  3. Step 3: Cross multiply
    2,133.78x = 2,944.80 × 1,294.62
  4. Step 4: Simplify right side
    2,133.78x = 3,812,396.98
  5. Step 5: Solve for x
    x = 3,812,396.98/2,133.78
  6. Step 6: Final answer
    x = 1,786.69

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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.