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Finding the Fourth Proportional to 1,381.48, 1,905.44 and 938.62

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Solution

The fourth proportional to 1,381.48, 1,905.44 and 938.62 is: 1,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.48 : 1,905.44 = 938.62 : x
  2. Step 2: Convert to fraction form
    1,381.48/1,905.44 = 938.62/x
  3. Step 3: Cross multiply
    1,381.48x = 1,905.44 × 938.62
  4. Step 4: Simplify right side
    1,381.48x = 1,788,484.09
  5. Step 5: Solve for x
    x = 1,788,484.09/1,381.48
  6. Step 6: Final answer
    x = 1,294.61

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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.