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Finding the Fourth Proportional to 2,334.78, 3,502.50 and 774.27

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Solution

The fourth proportional to 2,334.78, 3,502.50 and 774.27 is: 1,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.78 : 3,502.50 = 774.27 : x
  2. Step 2: Convert to fraction form
    2,334.78/3,502.50 = 774.27/x
  3. Step 3: Cross multiply
    2,334.78x = 3,502.50 × 774.27
  4. Step 4: Simplify right side
    2,334.78x = 2,711,880.68
  5. Step 5: Solve for x
    x = 2,711,880.68/2,334.78
  6. Step 6: Final answer
    x = 1,161.51

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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.