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Finding the Fourth Proportional to 17,110, 23,611.80 and 9,658

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Solution

The fourth proportional to 17,110, 23,611.80 and 9,658 is: 13,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,110 : 23,611.80 = 9,658 : x
  2. Step 2: Convert to fraction form
    17,110/23,611.80 = 9,658/x
  3. Step 3: Cross multiply
    17,110x = 23,611.80 × 9,658
  4. Step 4: Simplify right side
    17,110x = 228,042,764.40
  5. Step 5: Solve for x
    x = 228,042,764.40/17,110
  6. Step 6: Final answer
    x = 13,328.04

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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.