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Finding the Fourth Proportional to 1,321.90, 1,824.97 and 902.86

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Solution

The fourth proportional to 1,321.90, 1,824.97 and 902.86 is: 1,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.90 : 1,824.97 = 902.86 : x
  2. Step 2: Convert to fraction form
    1,321.90/1,824.97 = 902.86/x
  3. Step 3: Cross multiply
    1,321.90x = 1,824.97 × 902.86
  4. Step 4: Simplify right side
    1,321.90x = 1,647,692.41
  5. Step 5: Solve for x
    x = 1,647,692.41/1,321.90
  6. Step 6: Final answer
    x = 1,246.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.