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Finding the Fourth Proportional to 1,860.58, 2,789.22 and 1,447.48

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Solution

The fourth proportional to 1,860.58, 2,789.22 and 1,447.48 is: 2,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.58 : 2,789.22 = 1,447.48 : x
  2. Step 2: Convert to fraction form
    1,860.58/2,789.22 = 1,447.48/x
  3. Step 3: Cross multiply
    1,860.58x = 2,789.22 × 1,447.48
  4. Step 4: Simplify right side
    1,860.58x = 4,037,340.17
  5. Step 5: Solve for x
    x = 4,037,340.17/1,860.58
  6. Step 6: Final answer
    x = 2,169.94

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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.