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Finding the Fourth Proportional to 5,627.64, 8,439.66 and 3,891

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Solution

The fourth proportional to 5,627.64, 8,439.66 and 3,891 is: 5,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.64 : 8,439.66 = 3,891 : x
  2. Step 2: Convert to fraction form
    5,627.64/8,439.66 = 3,891/x
  3. Step 3: Cross multiply
    5,627.64x = 8,439.66 × 3,891
  4. Step 4: Simplify right side
    5,627.64x = 32,838,717.06
  5. Step 5: Solve for x
    x = 32,838,717.06/5,627.64
  6. Step 6: Final answer
    x = 5,835.26

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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.