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Finding the Fourth Proportional to 3,885.65, 5,367.64 and 3,465.86

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Solution

The fourth proportional to 3,885.65, 5,367.64 and 3,465.86 is: 4,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.65 : 5,367.64 = 3,465.86 : x
  2. Step 2: Convert to fraction form
    3,885.65/5,367.64 = 3,465.86/x
  3. Step 3: Cross multiply
    3,885.65x = 5,367.64 × 3,465.86
  4. Step 4: Simplify right side
    3,885.65x = 18,603,514.80
  5. Step 5: Solve for x
    x = 18,603,514.80/3,885.65
  6. Step 6: Final answer
    x = 4,787.75

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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.