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Finding the Fourth Proportional to 3,980.81, 5,971.22 and 2,348.77

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Solution

The fourth proportional to 3,980.81, 5,971.22 and 2,348.77 is: 3,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.81 : 5,971.22 = 2,348.77 : x
  2. Step 2: Convert to fraction form
    3,980.81/5,971.22 = 2,348.77/x
  3. Step 3: Cross multiply
    3,980.81x = 5,971.22 × 2,348.77
  4. Step 4: Simplify right side
    3,980.81x = 14,025,010.66
  5. Step 5: Solve for x
    x = 14,025,010.66/3,980.81
  6. Step 6: Final answer
    x = 3,523.16

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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.