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Finding the Fourth Proportional to 11,710.80, 17,567.16 and 3,919.68

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Solution

The fourth proportional to 11,710.80, 17,567.16 and 3,919.68 is: 5,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.80 : 17,567.16 = 3,919.68 : x
  2. Step 2: Convert to fraction form
    11,710.80/17,567.16 = 3,919.68/x
  3. Step 3: Cross multiply
    11,710.80x = 17,567.16 × 3,919.68
  4. Step 4: Simplify right side
    11,710.80x = 68,857,645.71
  5. Step 5: Solve for x
    x = 68,857,645.71/11,710.80
  6. Step 6: Final answer
    x = 5,879.84

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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.