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Finding the Fourth Proportional to 7,661.68, 11,485.94 and 2,663.40

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Solution

The fourth proportional to 7,661.68, 11,485.94 and 2,663.40 is: 3,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.68 : 11,485.94 = 2,663.40 : x
  2. Step 2: Convert to fraction form
    7,661.68/11,485.94 = 2,663.40/x
  3. Step 3: Cross multiply
    7,661.68x = 11,485.94 × 2,663.40
  4. Step 4: Simplify right side
    7,661.68x = 30,591,617.74
  5. Step 5: Solve for x
    x = 30,591,617.74/7,661.68
  6. Step 6: Final answer
    x = 3,992.81

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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.