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Finding the Fourth Proportional to 11,765.79, 17,658.81 and 6,828.57

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Solution

The fourth proportional to 11,765.79, 17,658.81 and 6,828.57 is: 10,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.79 : 17,658.81 = 6,828.57 : x
  2. Step 2: Convert to fraction form
    11,765.79/17,658.81 = 6,828.57/x
  3. Step 3: Cross multiply
    11,765.79x = 17,658.81 × 6,828.57
  4. Step 4: Simplify right side
    11,765.79x = 120,584,420.20
  5. Step 5: Solve for x
    x = 120,584,420.20/11,765.79
  6. Step 6: Final answer
    x = 10,248.73

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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.