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Finding the Fourth Proportional to 11,862.93, 16,369.76 and 6,825.81

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Solution

The fourth proportional to 11,862.93, 16,369.76 and 6,825.81 is: 9,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.93 : 16,369.76 = 6,825.81 : x
  2. Step 2: Convert to fraction form
    11,862.93/16,369.76 = 6,825.81/x
  3. Step 3: Cross multiply
    11,862.93x = 16,369.76 × 6,825.81
  4. Step 4: Simplify right side
    11,862.93x = 111,736,837.38
  5. Step 5: Solve for x
    x = 111,736,837.38/11,862.93
  6. Step 6: Final answer
    x = 9,418.99

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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.