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Finding the Fourth Proportional to 6,477.44, 8,917.25 and 6,179.87

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Solution

The fourth proportional to 6,477.44, 8,917.25 and 6,179.87 is: 8,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.44 : 8,917.25 = 6,179.87 : x
  2. Step 2: Convert to fraction form
    6,477.44/8,917.25 = 6,179.87/x
  3. Step 3: Cross multiply
    6,477.44x = 8,917.25 × 6,179.87
  4. Step 4: Simplify right side
    6,477.44x = 55,107,437.15
  5. Step 5: Solve for x
    x = 55,107,437.15/6,477.44
  6. Step 6: Final answer
    x = 8,507.60

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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.