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Finding the Fourth Proportional to 7,866.28, 11,795.95 and 4,167.65

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Solution

The fourth proportional to 7,866.28, 11,795.95 and 4,167.65 is: 6,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.28 : 11,795.95 = 4,167.65 : x
  2. Step 2: Convert to fraction form
    7,866.28/11,795.95 = 4,167.65/x
  3. Step 3: Cross multiply
    7,866.28x = 11,795.95 × 4,167.65
  4. Step 4: Simplify right side
    7,866.28x = 49,161,425.72
  5. Step 5: Solve for x
    x = 49,161,425.72/7,866.28
  6. Step 6: Final answer
    x = 6,249.64

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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.