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Finding the Fourth Proportional to 3,970.90, 5,969.85 and 3,245.74

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Solution

The fourth proportional to 3,970.90, 5,969.85 and 3,245.74 is: 4,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.90 : 5,969.85 = 3,245.74 : x
  2. Step 2: Convert to fraction form
    3,970.90/5,969.85 = 3,245.74/x
  3. Step 3: Cross multiply
    3,970.90x = 5,969.85 × 3,245.74
  4. Step 4: Simplify right side
    3,970.90x = 19,376,580.94
  5. Step 5: Solve for x
    x = 19,376,580.94/3,970.90
  6. Step 6: Final answer
    x = 4,879.64

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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.