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Finding the Fourth Proportional to 1,866.27, 2,801.14 and 942.48

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Solution

The fourth proportional to 1,866.27, 2,801.14 and 942.48 is: 1,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.27 : 2,801.14 = 942.48 : x
  2. Step 2: Convert to fraction form
    1,866.27/2,801.14 = 942.48/x
  3. Step 3: Cross multiply
    1,866.27x = 2,801.14 × 942.48
  4. Step 4: Simplify right side
    1,866.27x = 2,640,014.76
  5. Step 5: Solve for x
    x = 2,640,014.76/1,866.27
  6. Step 6: Final answer
    x = 1,414.59

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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.