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Finding the Fourth Proportional to 2,480.97, 3,720.54 and 1,785.54

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Solution

The fourth proportional to 2,480.97, 3,720.54 and 1,785.54 is: 2,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.97 : 3,720.54 = 1,785.54 : x
  2. Step 2: Convert to fraction form
    2,480.97/3,720.54 = 1,785.54/x
  3. Step 3: Cross multiply
    2,480.97x = 3,720.54 × 1,785.54
  4. Step 4: Simplify right side
    2,480.97x = 6,643,172.99
  5. Step 5: Solve for x
    x = 6,643,172.99/2,480.97
  6. Step 6: Final answer
    x = 2,677.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.