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Finding the Fourth Proportional to 7,857.80, 11,782.60 and 5,085.78

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Solution

The fourth proportional to 7,857.80, 11,782.60 and 5,085.78 is: 7,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.80 : 11,782.60 = 5,085.78 : x
  2. Step 2: Convert to fraction form
    7,857.80/11,782.60 = 5,085.78/x
  3. Step 3: Cross multiply
    7,857.80x = 11,782.60 × 5,085.78
  4. Step 4: Simplify right side
    7,857.80x = 59,923,711.43
  5. Step 5: Solve for x
    x = 59,923,711.43/7,857.80
  6. Step 6: Final answer
    x = 7,626.02

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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.