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Finding the Fourth Proportional to 3,854.60, 5,325 and 3,077

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Solution

The fourth proportional to 3,854.60, 5,325 and 3,077 is: 4,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.60 : 5,325 = 3,077 : x
  2. Step 2: Convert to fraction form
    3,854.60/5,325 = 3,077/x
  3. Step 3: Cross multiply
    3,854.60x = 5,325 × 3,077
  4. Step 4: Simplify right side
    3,854.60x = 16,385,025
  5. Step 5: Solve for x
    x = 16,385,025/3,854.60
  6. Step 6: Final answer
    x = 4,250.77

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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.