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Finding the Fourth Proportional to 7,855.78, 11,780.66 and 3,174.16

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Solution

The fourth proportional to 7,855.78, 11,780.66 and 3,174.16 is: 4,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.78 : 11,780.66 = 3,174.16 : x
  2. Step 2: Convert to fraction form
    7,855.78/11,780.66 = 3,174.16/x
  3. Step 3: Cross multiply
    7,855.78x = 11,780.66 × 3,174.16
  4. Step 4: Simplify right side
    7,855.78x = 37,393,699.75
  5. Step 5: Solve for x
    x = 37,393,699.75/7,855.78
  6. Step 6: Final answer
    x = 4,760.02

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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.