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Finding the Fourth Proportional to 11,886.53, 17,862.11 and 6,343.79

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Solution

The fourth proportional to 11,886.53, 17,862.11 and 6,343.79 is: 9,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.53 : 17,862.11 = 6,343.79 : x
  2. Step 2: Convert to fraction form
    11,886.53/17,862.11 = 6,343.79/x
  3. Step 3: Cross multiply
    11,886.53x = 17,862.11 × 6,343.79
  4. Step 4: Simplify right side
    11,886.53x = 113,313,474.80
  5. Step 5: Solve for x
    x = 113,313,474.80/11,886.53
  6. Step 6: Final answer
    x = 9,532.93

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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.