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Finding the Fourth Proportional to 5,782.78, 7,979.07 and 3,892.24

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Solution

The fourth proportional to 5,782.78, 7,979.07 and 3,892.24 is: 5,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.78 : 7,979.07 = 3,892.24 : x
  2. Step 2: Convert to fraction form
    5,782.78/7,979.07 = 3,892.24/x
  3. Step 3: Cross multiply
    5,782.78x = 7,979.07 × 3,892.24
  4. Step 4: Simplify right side
    5,782.78x = 31,056,455.42
  5. Step 5: Solve for x
    x = 31,056,455.42/5,782.78
  6. Step 6: Final answer
    x = 5,370.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.