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Finding the Fourth Proportional to 2,859.45, 3,945.99 and 1,600.50

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Solution

The fourth proportional to 2,859.45, 3,945.99 and 1,600.50 is: 2,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.45 : 3,945.99 = 1,600.50 : x
  2. Step 2: Convert to fraction form
    2,859.45/3,945.99 = 1,600.50/x
  3. Step 3: Cross multiply
    2,859.45x = 3,945.99 × 1,600.50
  4. Step 4: Simplify right side
    2,859.45x = 6,315,557.00
  5. Step 5: Solve for x
    x = 6,315,557.00/2,859.45
  6. Step 6: Final answer
    x = 2,208.66

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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.