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Finding the Fourth Proportional to 3,964.65, 5,473.89 and 3,543.66

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Solution

The fourth proportional to 3,964.65, 5,473.89 and 3,543.66 is: 4,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.65 : 5,473.89 = 3,543.66 : x
  2. Step 2: Convert to fraction form
    3,964.65/5,473.89 = 3,543.66/x
  3. Step 3: Cross multiply
    3,964.65x = 5,473.89 × 3,543.66
  4. Step 4: Simplify right side
    3,964.65x = 19,397,605.04
  5. Step 5: Solve for x
    x = 19,397,605.04/3,964.65
  6. Step 6: Final answer
    x = 4,892.64

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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.