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Finding the Fourth Proportional to 7,850.12, 11,777 and 2,303.56

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Solution

The fourth proportional to 7,850.12, 11,777 and 2,303.56 is: 3,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.12 : 11,777 = 2,303.56 : x
  2. Step 2: Convert to fraction form
    7,850.12/11,777 = 2,303.56/x
  3. Step 3: Cross multiply
    7,850.12x = 11,777 × 2,303.56
  4. Step 4: Simplify right side
    7,850.12x = 27,129,026.12
  5. Step 5: Solve for x
    x = 27,129,026.12/7,850.12
  6. Step 6: Final answer
    x = 3,455.87

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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.