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Finding the Fourth Proportional to 11,806.58, 17,655.18 and 9,143.90

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Solution

The fourth proportional to 11,806.58, 17,655.18 and 9,143.90 is: 13,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.58 : 17,655.18 = 9,143.90 : x
  2. Step 2: Convert to fraction form
    11,806.58/17,655.18 = 9,143.90/x
  3. Step 3: Cross multiply
    11,806.58x = 17,655.18 × 9,143.90
  4. Step 4: Simplify right side
    11,806.58x = 161,437,112.13
  5. Step 5: Solve for x
    x = 161,437,112.13/11,806.58
  6. Step 6: Final answer
    x = 13,673.49

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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.