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Finding the Fourth Proportional to 5,164.83, 7,728.11 and 3,085.97

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Solution

The fourth proportional to 5,164.83, 7,728.11 and 3,085.97 is: 4,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.83 : 7,728.11 = 3,085.97 : x
  2. Step 2: Convert to fraction form
    5,164.83/7,728.11 = 3,085.97/x
  3. Step 3: Cross multiply
    5,164.83x = 7,728.11 × 3,085.97
  4. Step 4: Simplify right side
    5,164.83x = 23,848,661.55
  5. Step 5: Solve for x
    x = 23,848,661.55/5,164.83
  6. Step 6: Final answer
    x = 4,617.51

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1.5x scale

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.