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Finding the Fourth Proportional to 11,856.74, 17,795.87 and 6,314.78

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Solution

The fourth proportional to 11,856.74, 17,795.87 and 6,314.78 is: 9,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.74 : 17,795.87 = 6,314.78 : x
  2. Step 2: Convert to fraction form
    11,856.74/17,795.87 = 6,314.78/x
  3. Step 3: Cross multiply
    11,856.74x = 17,795.87 × 6,314.78
  4. Step 4: Simplify right side
    11,856.74x = 112,376,883.41
  5. Step 5: Solve for x
    x = 112,376,883.41/11,856.74
  6. Step 6: Final answer
    x = 9,477.89

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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.