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Finding the Fourth Proportional to 6,658.29, 9,986.49 and 4,185.54

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Solution

The fourth proportional to 6,658.29, 9,986.49 and 4,185.54 is: 6,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.29 : 9,986.49 = 4,185.54 : x
  2. Step 2: Convert to fraction form
    6,658.29/9,986.49 = 4,185.54/x
  3. Step 3: Cross multiply
    6,658.29x = 9,986.49 × 4,185.54
  4. Step 4: Simplify right side
    6,658.29x = 41,798,853.35
  5. Step 5: Solve for x
    x = 41,798,853.35/6,658.29
  6. Step 6: Final answer
    x = 6,277.72

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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.