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Finding the Fourth Proportional to 7,807.86, 11,704.41 and 2,610

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Solution

The fourth proportional to 7,807.86, 11,704.41 and 2,610 is: 3,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.86 : 11,704.41 = 2,610 : x
  2. Step 2: Convert to fraction form
    7,807.86/11,704.41 = 2,610/x
  3. Step 3: Cross multiply
    7,807.86x = 11,704.41 × 2,610
  4. Step 4: Simplify right side
    7,807.86x = 30,548,510.10
  5. Step 5: Solve for x
    x = 30,548,510.10/7,807.86
  6. Step 6: Final answer
    x = 3,912.53

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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.