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Finding the Fourth Proportional to 3,853.60, 5,323.62 and 3,076

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Solution

The fourth proportional to 3,853.60, 5,323.62 and 3,076 is: 4,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.60 : 5,323.62 = 3,076 : x
  2. Step 2: Convert to fraction form
    3,853.60/5,323.62 = 3,076/x
  3. Step 3: Cross multiply
    3,853.60x = 5,323.62 × 3,076
  4. Step 4: Simplify right side
    3,853.60x = 16,375,455.12
  5. Step 5: Solve for x
    x = 16,375,455.12/3,853.60
  6. Step 6: Final answer
    x = 4,249.39

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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.