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Finding the Fourth Proportional to 5,979.67, 8,971.42 and 1,820.48

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Solution

The fourth proportional to 5,979.67, 8,971.42 and 1,820.48 is: 2,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.67 : 8,971.42 = 1,820.48 : x
  2. Step 2: Convert to fraction form
    5,979.67/8,971.42 = 1,820.48/x
  3. Step 3: Cross multiply
    5,979.67x = 8,971.42 × 1,820.48
  4. Step 4: Simplify right side
    5,979.67x = 16,332,301.98
  5. Step 5: Solve for x
    x = 16,332,301.98/5,979.67
  6. Step 6: Final answer
    x = 2,731.31

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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.