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Finding the Fourth Proportional to 5,290.33, 7,931.17 and 2,654.66

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Solution

The fourth proportional to 5,290.33, 7,931.17 and 2,654.66 is: 3,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.33 : 7,931.17 = 2,654.66 : x
  2. Step 2: Convert to fraction form
    5,290.33/7,931.17 = 2,654.66/x
  3. Step 3: Cross multiply
    5,290.33x = 7,931.17 × 2,654.66
  4. Step 4: Simplify right side
    5,290.33x = 21,054,523.35
  5. Step 5: Solve for x
    x = 21,054,523.35/5,290.33
  6. Step 6: Final answer
    x = 3,979.81

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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.