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Finding the Fourth Proportional to 11,579.92, 15,978.60 and 6,475.50

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Solution

The fourth proportional to 11,579.92, 15,978.60 and 6,475.50 is: 8,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.92 : 15,978.60 = 6,475.50 : x
  2. Step 2: Convert to fraction form
    11,579.92/15,978.60 = 6,475.50/x
  3. Step 3: Cross multiply
    11,579.92x = 15,978.60 × 6,475.50
  4. Step 4: Simplify right side
    11,579.92x = 103,469,424.30
  5. Step 5: Solve for x
    x = 103,469,424.30/11,579.92
  6. Step 6: Final answer
    x = 8,935.25

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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.