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Finding the Fourth Proportional to 11,165, 15,407.76 and 6,975.68

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Solution

The fourth proportional to 11,165, 15,407.76 and 6,975.68 is: 9,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165 : 15,407.76 = 6,975.68 : x
  2. Step 2: Convert to fraction form
    11,165/15,407.76 = 6,975.68/x
  3. Step 3: Cross multiply
    11,165x = 15,407.76 × 6,975.68
  4. Step 4: Simplify right side
    11,165x = 107,479,603.28
  5. Step 5: Solve for x
    x = 107,479,603.28/11,165
  6. Step 6: Final answer
    x = 9,626.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.