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Finding the Fourth Proportional to 11,563, 15,956.98 and 6,257.86

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Solution

The fourth proportional to 11,563, 15,956.98 and 6,257.86 is: 8,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 15,956.98 = 6,257.86 : x
  2. Step 2: Convert to fraction form
    11,563/15,956.98 = 6,257.86/x
  3. Step 3: Cross multiply
    11,563x = 15,956.98 × 6,257.86
  4. Step 4: Simplify right side
    11,563x = 99,856,546.86
  5. Step 5: Solve for x
    x = 99,856,546.86/11,563
  6. Step 6: Final answer
    x = 8,635.87

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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.