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Finding the Fourth Proportional to 11,489.85, 17,242.47 and 4,917.65

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Solution

The fourth proportional to 11,489.85, 17,242.47 and 4,917.65 is: 7,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.85 : 17,242.47 = 4,917.65 : x
  2. Step 2: Convert to fraction form
    11,489.85/17,242.47 = 4,917.65/x
  3. Step 3: Cross multiply
    11,489.85x = 17,242.47 × 4,917.65
  4. Step 4: Simplify right side
    11,489.85x = 84,792,346.38
  5. Step 5: Solve for x
    x = 84,792,346.38/11,489.85
  6. Step 6: Final answer
    x = 7,379.76

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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.