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Finding the Fourth Proportional to 7,771.66, 11,655.84 and 2,507.15

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Solution

The fourth proportional to 7,771.66, 11,655.84 and 2,507.15 is: 3,760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.66 : 11,655.84 = 2,507.15 : x
  2. Step 2: Convert to fraction form
    7,771.66/11,655.84 = 2,507.15/x
  3. Step 3: Cross multiply
    7,771.66x = 11,655.84 × 2,507.15
  4. Step 4: Simplify right side
    7,771.66x = 29,222,977.80
  5. Step 5: Solve for x
    x = 29,222,977.80/7,771.66
  6. Step 6: Final answer
    x = 3,760.20

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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.