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Finding the Fourth Proportional to 3,853.66, 5,780.50 and 931.96

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Solution

The fourth proportional to 3,853.66, 5,780.50 and 931.96 is: 1,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.66 : 5,780.50 = 931.96 : x
  2. Step 2: Convert to fraction form
    3,853.66/5,780.50 = 931.96/x
  3. Step 3: Cross multiply
    3,853.66x = 5,780.50 × 931.96
  4. Step 4: Simplify right side
    3,853.66x = 5,387,194.78
  5. Step 5: Solve for x
    x = 5,387,194.78/3,853.66
  6. Step 6: Final answer
    x = 1,397.94

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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.