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Finding the Fourth Proportional to 2,940.71, 4,410.68 and 749.45

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Solution

The fourth proportional to 2,940.71, 4,410.68 and 749.45 is: 1,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.71 : 4,410.68 = 749.45 : x
  2. Step 2: Convert to fraction form
    2,940.71/4,410.68 = 749.45/x
  3. Step 3: Cross multiply
    2,940.71x = 4,410.68 × 749.45
  4. Step 4: Simplify right side
    2,940.71x = 3,305,558.33
  5. Step 5: Solve for x
    x = 3,305,558.33/2,940.71
  6. Step 6: Final answer
    x = 1,124.07

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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.