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Finding the Fourth Proportional to 17,111, 23,613.18 and 9,659

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Solution

The fourth proportional to 17,111, 23,613.18 and 9,659 is: 13,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111 : 23,613.18 = 9,659 : x
  2. Step 2: Convert to fraction form
    17,111/23,613.18 = 9,659/x
  3. Step 3: Cross multiply
    17,111x = 23,613.18 × 9,659
  4. Step 4: Simplify right side
    17,111x = 228,079,705.62
  5. Step 5: Solve for x
    x = 228,079,705.62/17,111
  6. Step 6: Final answer
    x = 13,329.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.