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Finding the Fourth Proportional to 3,886.65, 5,369.02 and 3,466.86

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Solution

The fourth proportional to 3,886.65, 5,369.02 and 3,466.86 is: 4,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.65 : 5,369.02 = 3,466.86 : x
  2. Step 2: Convert to fraction form
    3,886.65/5,369.02 = 3,466.86/x
  3. Step 3: Cross multiply
    3,886.65x = 5,369.02 × 3,466.86
  4. Step 4: Simplify right side
    3,886.65x = 18,613,640.68
  5. Step 5: Solve for x
    x = 18,613,640.68/3,886.65
  6. Step 6: Final answer
    x = 4,789.12

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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.