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Finding the Fourth Proportional to 3,980.29, 5,971.37 and 1,347.69

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Solution

The fourth proportional to 3,980.29, 5,971.37 and 1,347.69 is: 2,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.29 : 5,971.37 = 1,347.69 : x
  2. Step 2: Convert to fraction form
    3,980.29/5,971.37 = 1,347.69/x
  3. Step 3: Cross multiply
    3,980.29x = 5,971.37 × 1,347.69
  4. Step 4: Simplify right side
    3,980.29x = 8,047,545.28
  5. Step 5: Solve for x
    x = 8,047,545.28/3,980.29
  6. Step 6: Final answer
    x = 2,021.85

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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.