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Finding the Fourth Proportional to 7,776.98, 11,655.70 and 6,127

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Solution

The fourth proportional to 7,776.98, 11,655.70 and 6,127 is: 9,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.98 : 11,655.70 = 6,127 : x
  2. Step 2: Convert to fraction form
    7,776.98/11,655.70 = 6,127/x
  3. Step 3: Cross multiply
    7,776.98x = 11,655.70 × 6,127
  4. Step 4: Simplify right side
    7,776.98x = 71,414,473.90
  5. Step 5: Solve for x
    x = 71,414,473.90/7,776.98
  6. Step 6: Final answer
    x = 9,182.80

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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.