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Finding the Fourth Proportional to 7,778.98, 11,658.70 and 6,129

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Solution

The fourth proportional to 7,778.98, 11,658.70 and 6,129 is: 9,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.98 : 11,658.70 = 6,129 : x
  2. Step 2: Convert to fraction form
    7,778.98/11,658.70 = 6,129/x
  3. Step 3: Cross multiply
    7,778.98x = 11,658.70 × 6,129
  4. Step 4: Simplify right side
    7,778.98x = 71,456,172.30
  5. Step 5: Solve for x
    x = 71,456,172.30/7,778.98
  6. Step 6: Final answer
    x = 9,185.80

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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.