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Finding the Fourth Proportional to 6,092.77, 8,404.80 and 4,201.06

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Solution

The fourth proportional to 6,092.77, 8,404.80 and 4,201.06 is: 5,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.77 : 8,404.80 = 4,201.06 : x
  2. Step 2: Convert to fraction form
    6,092.77/8,404.80 = 4,201.06/x
  3. Step 3: Cross multiply
    6,092.77x = 8,404.80 × 4,201.06
  4. Step 4: Simplify right side
    6,092.77x = 35,309,069.09
  5. Step 5: Solve for x
    x = 35,309,069.09/6,092.77
  6. Step 6: Final answer
    x = 5,795.24

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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.