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Finding the Fourth Proportional to 7,807.62, 11,704.86 and 3,645.44

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Solution

The fourth proportional to 7,807.62, 11,704.86 and 3,645.44 is: 5,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.62 : 11,704.86 = 3,645.44 : x
  2. Step 2: Convert to fraction form
    7,807.62/11,704.86 = 3,645.44/x
  3. Step 3: Cross multiply
    7,807.62x = 11,704.86 × 3,645.44
  4. Step 4: Simplify right side
    7,807.62x = 42,669,364.84
  5. Step 5: Solve for x
    x = 42,669,364.84/7,807.62
  6. Step 6: Final answer
    x = 5,465.09

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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.