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Finding the Fourth Proportional to 11,395.36, 15,726 and 6,679.36

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Solution

The fourth proportional to 11,395.36, 15,726 and 6,679.36 is: 9,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.36 : 15,726 = 6,679.36 : x
  2. Step 2: Convert to fraction form
    11,395.36/15,726 = 6,679.36/x
  3. Step 3: Cross multiply
    11,395.36x = 15,726 × 6,679.36
  4. Step 4: Simplify right side
    11,395.36x = 105,039,615.36
  5. Step 5: Solve for x
    x = 105,039,615.36/11,395.36
  6. Step 6: Final answer
    x = 9,217.75

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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.