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Finding the Fourth Proportional to 11,829.13, 17,726.69 and 8,135.53

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Solution

The fourth proportional to 11,829.13, 17,726.69 and 8,135.53 is: 12,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.13 : 17,726.69 = 8,135.53 : x
  2. Step 2: Convert to fraction form
    11,829.13/17,726.69 = 8,135.53/x
  3. Step 3: Cross multiply
    11,829.13x = 17,726.69 × 8,135.53
  4. Step 4: Simplify right side
    11,829.13x = 144,215,977.62
  5. Step 5: Solve for x
    x = 144,215,977.62/11,829.13
  6. Step 6: Final answer
    x = 12,191.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.