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Finding the Fourth Proportional to 10,614.11, 14,643.38 and 6,836.97

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Solution

The fourth proportional to 10,614.11, 14,643.38 and 6,836.97 is: 9,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.11 : 14,643.38 = 6,836.97 : x
  2. Step 2: Convert to fraction form
    10,614.11/14,643.38 = 6,836.97/x
  3. Step 3: Cross multiply
    10,614.11x = 14,643.38 × 6,836.97
  4. Step 4: Simplify right side
    10,614.11x = 100,116,421.76
  5. Step 5: Solve for x
    x = 100,116,421.76/10,614.11
  6. Step 6: Final answer
    x = 9,432.39

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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.