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Finding the Fourth Proportional to 11,644.62, 16,071.30 and 6,865.44

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Solution

The fourth proportional to 11,644.62, 16,071.30 and 6,865.44 is: 9,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.62 : 16,071.30 = 6,865.44 : x
  2. Step 2: Convert to fraction form
    11,644.62/16,071.30 = 6,865.44/x
  3. Step 3: Cross multiply
    11,644.62x = 16,071.30 × 6,865.44
  4. Step 4: Simplify right side
    11,644.62x = 110,336,545.87
  5. Step 5: Solve for x
    x = 110,336,545.87/11,644.62
  6. Step 6: Final answer
    x = 9,475.32

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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.