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Finding the Fourth Proportional to 7,775, 11,660.86 and 2,510.50

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Solution

The fourth proportional to 7,775, 11,660.86 and 2,510.50 is: 3,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775 : 11,660.86 = 2,510.50 : x
  2. Step 2: Convert to fraction form
    7,775/11,660.86 = 2,510.50/x
  3. Step 3: Cross multiply
    7,775x = 11,660.86 × 2,510.50
  4. Step 4: Simplify right side
    7,775x = 29,274,589.03
  5. Step 5: Solve for x
    x = 29,274,589.03/7,775
  6. Step 6: Final answer
    x = 3,765.22

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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.