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Finding the Fourth Proportional to 7,817, 11,727.12 and 3,200

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Solution

The fourth proportional to 7,817, 11,727.12 and 3,200 is: 4,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817 : 11,727.12 = 3,200 : x
  2. Step 2: Convert to fraction form
    7,817/11,727.12 = 3,200/x
  3. Step 3: Cross multiply
    7,817x = 11,727.12 × 3,200
  4. Step 4: Simplify right side
    7,817x = 37,526,784
  5. Step 5: Solve for x
    x = 37,526,784/7,817
  6. Step 6: Final answer
    x = 4,800.66

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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.