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Finding the Fourth Proportional to 2,859.97, 3,945.60 and 1,740.01

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Solution

The fourth proportional to 2,859.97, 3,945.60 and 1,740.01 is: 2,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.97 : 3,945.60 = 1,740.01 : x
  2. Step 2: Convert to fraction form
    2,859.97/3,945.60 = 1,740.01/x
  3. Step 3: Cross multiply
    2,859.97x = 3,945.60 × 1,740.01
  4. Step 4: Simplify right side
    2,859.97x = 6,865,383.46
  5. Step 5: Solve for x
    x = 6,865,383.46/2,859.97
  6. Step 6: Final answer
    x = 2,400.51

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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.