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Finding the Fourth Proportional to 1,331.80, 1,835.98 and 937.60

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Solution

The fourth proportional to 1,331.80, 1,835.98 and 937.60 is: 1,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.80 : 1,835.98 = 937.60 : x
  2. Step 2: Convert to fraction form
    1,331.80/1,835.98 = 937.60/x
  3. Step 3: Cross multiply
    1,331.80x = 1,835.98 × 937.60
  4. Step 4: Simplify right side
    1,331.80x = 1,721,414.85
  5. Step 5: Solve for x
    x = 1,721,414.85/1,331.80
  6. Step 6: Final answer
    x = 1,292.55

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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.