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Finding the Fourth Proportional to 7,857.78, 11,782.89 and 3,472.98

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Solution

The fourth proportional to 7,857.78, 11,782.89 and 3,472.98 is: 5,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.78 : 11,782.89 = 3,472.98 : x
  2. Step 2: Convert to fraction form
    7,857.78/11,782.89 = 3,472.98/x
  3. Step 3: Cross multiply
    7,857.78x = 11,782.89 × 3,472.98
  4. Step 4: Simplify right side
    7,857.78x = 40,921,741.31
  5. Step 5: Solve for x
    x = 40,921,741.31/7,857.78
  6. Step 6: Final answer
    x = 5,207.80

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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.