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Finding the Fourth Proportional to 13,952.70, 20,929.66 and 6,936.08

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Solution

The fourth proportional to 13,952.70, 20,929.66 and 6,936.08 is: 10,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.70 : 20,929.66 = 6,936.08 : x
  2. Step 2: Convert to fraction form
    13,952.70/20,929.66 = 6,936.08/x
  3. Step 3: Cross multiply
    13,952.70x = 20,929.66 × 6,936.08
  4. Step 4: Simplify right side
    13,952.70x = 145,169,674.14
  5. Step 5: Solve for x
    x = 145,169,674.14/13,952.70
  6. Step 6: Final answer
    x = 10,404.41

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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.