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Finding the Fourth Proportional to 10,144.34, 13,998.38 and 5,667.74

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Solution

The fourth proportional to 10,144.34, 13,998.38 and 5,667.74 is: 7,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.34 : 13,998.38 = 5,667.74 : x
  2. Step 2: Convert to fraction form
    10,144.34/13,998.38 = 5,667.74/x
  3. Step 3: Cross multiply
    10,144.34x = 13,998.38 × 5,667.74
  4. Step 4: Simplify right side
    10,144.34x = 79,339,178.26
  5. Step 5: Solve for x
    x = 79,339,178.26/10,144.34
  6. Step 6: Final answer
    x = 7,821.03

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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.