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Finding the Fourth Proportional to 3,865.78, 5,802.36 and 2,812.42

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Solution

The fourth proportional to 3,865.78, 5,802.36 and 2,812.42 is: 4,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.78 : 5,802.36 = 2,812.42 : x
  2. Step 2: Convert to fraction form
    3,865.78/5,802.36 = 2,812.42/x
  3. Step 3: Cross multiply
    3,865.78x = 5,802.36 × 2,812.42
  4. Step 4: Simplify right side
    3,865.78x = 16,318,673.31
  5. Step 5: Solve for x
    x = 16,318,673.31/3,865.78
  6. Step 6: Final answer
    x = 4,221.31

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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.