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Finding the Fourth Proportional to 1,809.87, 2,480.88 and 1,785.27

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Solution

The fourth proportional to 1,809.87, 2,480.88 and 1,785.27 is: 2,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.87 : 2,480.88 = 1,785.27 : x
  2. Step 2: Convert to fraction form
    1,809.87/2,480.88 = 1,785.27/x
  3. Step 3: Cross multiply
    1,809.87x = 2,480.88 × 1,785.27
  4. Step 4: Simplify right side
    1,809.87x = 4,429,040.64
  5. Step 5: Solve for x
    x = 4,429,040.64/1,809.87
  6. Step 6: Final answer
    x = 2,447.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.