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Finding the Fourth Proportional to 2,859.43, 3,945.76 and 1,600.32

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Solution

The fourth proportional to 2,859.43, 3,945.76 and 1,600.32 is: 2,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.43 : 3,945.76 = 1,600.32 : x
  2. Step 2: Convert to fraction form
    2,859.43/3,945.76 = 1,600.32/x
  3. Step 3: Cross multiply
    2,859.43x = 3,945.76 × 1,600.32
  4. Step 4: Simplify right side
    2,859.43x = 6,314,478.64
  5. Step 5: Solve for x
    x = 6,314,478.64/2,859.43
  6. Step 6: Final answer
    x = 2,208.30

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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.