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Finding the Fourth Proportional to 4,865.78, 7,287.73 and 3,411.42

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Solution

The fourth proportional to 4,865.78, 7,287.73 and 3,411.42 is: 5,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.78 : 7,287.73 = 3,411.42 : x
  2. Step 2: Convert to fraction form
    4,865.78/7,287.73 = 3,411.42/x
  3. Step 3: Cross multiply
    4,865.78x = 7,287.73 × 3,411.42
  4. Step 4: Simplify right side
    4,865.78x = 24,861,507.88
  5. Step 5: Solve for x
    x = 24,861,507.88/4,865.78
  6. Step 6: Final answer
    x = 5,109.46

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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.