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Finding the Fourth Proportional to 1,379.96, 1,902.47 and 937.09

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Solution

The fourth proportional to 1,379.96, 1,902.47 and 937.09 is: 1,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.96 : 1,902.47 = 937.09 : x
  2. Step 2: Convert to fraction form
    1,379.96/1,902.47 = 937.09/x
  3. Step 3: Cross multiply
    1,379.96x = 1,902.47 × 937.09
  4. Step 4: Simplify right side
    1,379.96x = 1,782,783.20
  5. Step 5: Solve for x
    x = 1,782,783.20/1,379.96
  6. Step 6: Final answer
    x = 1,291.91

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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.