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Finding the Fourth Proportional to 2,569.47, 3,847.21 and 1,334.28

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Solution

The fourth proportional to 2,569.47, 3,847.21 and 1,334.28 is: 1,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.47 : 3,847.21 = 1,334.28 : x
  2. Step 2: Convert to fraction form
    2,569.47/3,847.21 = 1,334.28/x
  3. Step 3: Cross multiply
    2,569.47x = 3,847.21 × 1,334.28
  4. Step 4: Simplify right side
    2,569.47x = 5,133,255.36
  5. Step 5: Solve for x
    x = 5,133,255.36/2,569.47
  6. Step 6: Final answer
    x = 1,997.79

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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.