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Finding the Fourth Proportional to 3,969.49, 5,953 and 3,187.65

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Solution

The fourth proportional to 3,969.49, 5,953 and 3,187.65 is: 4,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.49 : 5,953 = 3,187.65 : x
  2. Step 2: Convert to fraction form
    3,969.49/5,953 = 3,187.65/x
  3. Step 3: Cross multiply
    3,969.49x = 5,953 × 3,187.65
  4. Step 4: Simplify right side
    3,969.49x = 18,976,080.45
  5. Step 5: Solve for x
    x = 18,976,080.45/3,969.49
  6. Step 6: Final answer
    x = 4,780.48

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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.