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Finding the Fourth Proportional to 6,409.53, 9,610.89 and 3,288.27

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Solution

The fourth proportional to 6,409.53, 9,610.89 and 3,288.27 is: 4,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.53 : 9,610.89 = 3,288.27 : x
  2. Step 2: Convert to fraction form
    6,409.53/9,610.89 = 3,288.27/x
  3. Step 3: Cross multiply
    6,409.53x = 9,610.89 × 3,288.27
  4. Step 4: Simplify right side
    6,409.53x = 31,603,201.26
  5. Step 5: Solve for x
    x = 31,603,201.26/6,409.53
  6. Step 6: Final answer
    x = 4,930.66

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1.5x scale

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.