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Finding the Fourth Proportional to 1,863.42, 2,784.14 and 1,798.80

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Solution

The fourth proportional to 1,863.42, 2,784.14 and 1,798.80 is: 2,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.42 : 2,784.14 = 1,798.80 : x
  2. Step 2: Convert to fraction form
    1,863.42/2,784.14 = 1,798.80/x
  3. Step 3: Cross multiply
    1,863.42x = 2,784.14 × 1,798.80
  4. Step 4: Simplify right side
    1,863.42x = 5,008,102.04
  5. Step 5: Solve for x
    x = 5,008,102.04/1,863.42
  6. Step 6: Final answer
    x = 2,687.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.