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Finding the Fourth Proportional to 3,980.55, 5,971.85 and 3,730.41

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Solution

The fourth proportional to 3,980.55, 5,971.85 and 3,730.41 is: 5,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.55 : 5,971.85 = 3,730.41 : x
  2. Step 2: Convert to fraction form
    3,980.55/5,971.85 = 3,730.41/x
  3. Step 3: Cross multiply
    3,980.55x = 5,971.85 × 3,730.41
  4. Step 4: Simplify right side
    3,980.55x = 22,277,430.31
  5. Step 5: Solve for x
    x = 22,277,430.31/3,980.55
  6. Step 6: Final answer
    x = 5,596.57

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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.