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Finding the Fourth Proportional to 10,862.91, 16,287.08 and 6,965.19

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Solution

The fourth proportional to 10,862.91, 16,287.08 and 6,965.19 is: 10,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.91 : 16,287.08 = 6,965.19 : x
  2. Step 2: Convert to fraction form
    10,862.91/16,287.08 = 6,965.19/x
  3. Step 3: Cross multiply
    10,862.91x = 16,287.08 × 6,965.19
  4. Step 4: Simplify right side
    10,862.91x = 113,442,571.92
  5. Step 5: Solve for x
    x = 113,442,571.92/10,862.91
  6. Step 6: Final answer
    x = 10,443.11

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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.