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Finding the Fourth Proportional to 2,730.78, 4,096.20 and 783

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Solution

The fourth proportional to 2,730.78, 4,096.20 and 783 is: 1,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.78 : 4,096.20 = 783 : x
  2. Step 2: Convert to fraction form
    2,730.78/4,096.20 = 783/x
  3. Step 3: Cross multiply
    2,730.78x = 4,096.20 × 783
  4. Step 4: Simplify right side
    2,730.78x = 3,207,327.54
  5. Step 5: Solve for x
    x = 3,207,327.54/2,730.78
  6. Step 6: Final answer
    x = 1,174.51

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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.