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Finding the Fourth Proportional to 1,866.67, 2,797.27 and 1,319.92

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Solution

The fourth proportional to 1,866.67, 2,797.27 and 1,319.92 is: 1,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.67 : 2,797.27 = 1,319.92 : x
  2. Step 2: Convert to fraction form
    1,866.67/2,797.27 = 1,319.92/x
  3. Step 3: Cross multiply
    1,866.67x = 2,797.27 × 1,319.92
  4. Step 4: Simplify right side
    1,866.67x = 3,692,162.33
  5. Step 5: Solve for x
    x = 3,692,162.33/1,866.67
  6. Step 6: Final answer
    x = 1,977.94

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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.