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Finding the Fourth Proportional to 2,859.28, 3,945.88 and 1,600.28

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Solution

The fourth proportional to 2,859.28, 3,945.88 and 1,600.28 is: 2,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.28 : 3,945.88 = 1,600.28 : x
  2. Step 2: Convert to fraction form
    2,859.28/3,945.88 = 1,600.28/x
  3. Step 3: Cross multiply
    2,859.28x = 3,945.88 × 1,600.28
  4. Step 4: Simplify right side
    2,859.28x = 6,314,512.85
  5. Step 5: Solve for x
    x = 6,314,512.85/2,859.28
  6. Step 6: Final answer
    x = 2,208.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.