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Finding the Fourth Proportional to 2,859.75, 3,946.37 and 1,600.92

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Solution

The fourth proportional to 2,859.75, 3,946.37 and 1,600.92 is: 2,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.75 : 3,946.37 = 1,600.92 : x
  2. Step 2: Convert to fraction form
    2,859.75/3,946.37 = 1,600.92/x
  3. Step 3: Cross multiply
    2,859.75x = 3,946.37 × 1,600.92
  4. Step 4: Simplify right side
    2,859.75x = 6,317,814.66
  5. Step 5: Solve for x
    x = 6,317,814.66/2,859.75
  6. Step 6: Final answer
    x = 2,209.22

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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.