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Finding the Fourth Proportional to 3,887.32, 5,826.64 and 1,546.72

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Solution

The fourth proportional to 3,887.32, 5,826.64 and 1,546.72 is: 2,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.32 : 5,826.64 = 1,546.72 : x
  2. Step 2: Convert to fraction form
    3,887.32/5,826.64 = 1,546.72/x
  3. Step 3: Cross multiply
    3,887.32x = 5,826.64 × 1,546.72
  4. Step 4: Simplify right side
    3,887.32x = 9,012,180.62
  5. Step 5: Solve for x
    x = 9,012,180.62/3,887.32
  6. Step 6: Final answer
    x = 2,318.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.