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Finding the Fourth Proportional to 3,862.77, 5,783.19 and 3,239.47

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Solution

The fourth proportional to 3,862.77, 5,783.19 and 3,239.47 is: 4,850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.77 : 5,783.19 = 3,239.47 : x
  2. Step 2: Convert to fraction form
    3,862.77/5,783.19 = 3,239.47/x
  3. Step 3: Cross multiply
    3,862.77x = 5,783.19 × 3,239.47
  4. Step 4: Simplify right side
    3,862.77x = 18,734,470.51
  5. Step 5: Solve for x
    x = 18,734,470.51/3,862.77
  6. Step 6: Final answer
    x = 4,850.01

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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.