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Finding the Fourth Proportional to 8,471.60, 11,664.72 and 7,525.75

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Solution

The fourth proportional to 8,471.60, 11,664.72 and 7,525.75 is: 10,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.60 : 11,664.72 = 7,525.75 : x
  2. Step 2: Convert to fraction form
    8,471.60/11,664.72 = 7,525.75/x
  3. Step 3: Cross multiply
    8,471.60x = 11,664.72 × 7,525.75
  4. Step 4: Simplify right side
    8,471.60x = 87,785,766.54
  5. Step 5: Solve for x
    x = 87,785,766.54/8,471.60
  6. Step 6: Final answer
    x = 10,362.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.