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Finding the Fourth Proportional to 2,543.75, 3,512.01 and 1,600.83

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Solution

The fourth proportional to 2,543.75, 3,512.01 and 1,600.83 is: 2,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.75 : 3,512.01 = 1,600.83 : x
  2. Step 2: Convert to fraction form
    2,543.75/3,512.01 = 1,600.83/x
  3. Step 3: Cross multiply
    2,543.75x = 3,512.01 × 1,600.83
  4. Step 4: Simplify right side
    2,543.75x = 5,622,130.97
  5. Step 5: Solve for x
    x = 5,622,130.97/2,543.75
  6. Step 6: Final answer
    x = 2,210.17

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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.