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Finding the Fourth Proportional to 7,774.56, 11,662.56 and 2,580.96

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Solution

The fourth proportional to 7,774.56, 11,662.56 and 2,580.96 is: 3,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.56 : 11,662.56 = 2,580.96 : x
  2. Step 2: Convert to fraction form
    7,774.56/11,662.56 = 2,580.96/x
  3. Step 3: Cross multiply
    7,774.56x = 11,662.56 × 2,580.96
  4. Step 4: Simplify right side
    7,774.56x = 30,100,600.86
  5. Step 5: Solve for x
    x = 30,100,600.86/7,774.56
  6. Step 6: Final answer
    x = 3,871.68

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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.