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Finding the Fourth Proportional to 2,529.97, 3,794.99 and 774.97

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Solution

The fourth proportional to 2,529.97, 3,794.99 and 774.97 is: 1,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.97 : 3,794.99 = 774.97 : x
  2. Step 2: Convert to fraction form
    2,529.97/3,794.99 = 774.97/x
  3. Step 3: Cross multiply
    2,529.97x = 3,794.99 × 774.97
  4. Step 4: Simplify right side
    2,529.97x = 2,941,011.38
  5. Step 5: Solve for x
    x = 2,941,011.38/2,529.97
  6. Step 6: Final answer
    x = 1,162.47

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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.