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Finding the Fourth Proportional to 11,817, 17,727.93 and 4,891.50

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Solution

The fourth proportional to 11,817, 17,727.93 and 4,891.50 is: 7,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817 : 17,727.93 = 4,891.50 : x
  2. Step 2: Convert to fraction form
    11,817/17,727.93 = 4,891.50/x
  3. Step 3: Cross multiply
    11,817x = 17,727.93 × 4,891.50
  4. Step 4: Simplify right side
    11,817x = 86,716,169.60
  5. Step 5: Solve for x
    x = 86,716,169.60/11,817
  6. Step 6: Final answer
    x = 7,338.26

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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.