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Finding the Fourth Proportional to 3,968.93, 5,475.87 and 2,290.11

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Solution

The fourth proportional to 3,968.93, 5,475.87 and 2,290.11 is: 3,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.93 : 5,475.87 = 2,290.11 : x
  2. Step 2: Convert to fraction form
    3,968.93/5,475.87 = 2,290.11/x
  3. Step 3: Cross multiply
    3,968.93x = 5,475.87 × 2,290.11
  4. Step 4: Simplify right side
    3,968.93x = 12,540,344.65
  5. Step 5: Solve for x
    x = 12,540,344.65/3,968.93
  6. Step 6: Final answer
    x = 3,159.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.