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Finding the Fourth Proportional to 4,724.79, 7,086.24 and 4,490.61

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Solution

The fourth proportional to 4,724.79, 7,086.24 and 4,490.61 is: 6,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.79 : 7,086.24 = 4,490.61 : x
  2. Step 2: Convert to fraction form
    4,724.79/7,086.24 = 4,490.61/x
  3. Step 3: Cross multiply
    4,724.79x = 7,086.24 × 4,490.61
  4. Step 4: Simplify right side
    4,724.79x = 31,821,540.21
  5. Step 5: Solve for x
    x = 31,821,540.21/4,724.79
  6. Step 6: Final answer
    x = 6,735.02

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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.