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Finding the Fourth Proportional to 9,910.62, 13,667.92 and 6,133.18

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Solution

The fourth proportional to 9,910.62, 13,667.92 and 6,133.18 is: 8,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.62 : 13,667.92 = 6,133.18 : x
  2. Step 2: Convert to fraction form
    9,910.62/13,667.92 = 6,133.18/x
  3. Step 3: Cross multiply
    9,910.62x = 13,667.92 × 6,133.18
  4. Step 4: Simplify right side
    9,910.62x = 83,827,813.59
  5. Step 5: Solve for x
    x = 83,827,813.59/9,910.62
  6. Step 6: Final answer
    x = 8,458.38

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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.