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Finding the Fourth Proportional to 11,372, 15,693.52 and 6,404

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Solution

The fourth proportional to 11,372, 15,693.52 and 6,404 is: 8,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,372 : 15,693.52 = 6,404 : x
  2. Step 2: Convert to fraction form
    11,372/15,693.52 = 6,404/x
  3. Step 3: Cross multiply
    11,372x = 15,693.52 × 6,404
  4. Step 4: Simplify right side
    11,372x = 100,501,302.08
  5. Step 5: Solve for x
    x = 100,501,302.08/11,372
  6. Step 6: Final answer
    x = 8,837.61

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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.