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Finding the Fourth Proportional to 1,772.41, 2,660 and 1,228.41

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Solution

The fourth proportional to 1,772.41, 2,660 and 1,228.41 is: 1,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.41 : 2,660 = 1,228.41 : x
  2. Step 2: Convert to fraction form
    1,772.41/2,660 = 1,228.41/x
  3. Step 3: Cross multiply
    1,772.41x = 2,660 × 1,228.41
  4. Step 4: Simplify right side
    1,772.41x = 3,267,570.60
  5. Step 5: Solve for x
    x = 3,267,570.60/1,772.41
  6. Step 6: Final answer
    x = 1,843.57

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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.