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Finding the Fourth Proportional to 4,723.79, 7,084.74 and 4,489.61

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Solution

The fourth proportional to 4,723.79, 7,084.74 and 4,489.61 is: 6,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.79 : 7,084.74 = 4,489.61 : x
  2. Step 2: Convert to fraction form
    4,723.79/7,084.74 = 4,489.61/x
  3. Step 3: Cross multiply
    4,723.79x = 7,084.74 × 4,489.61
  4. Step 4: Simplify right side
    4,723.79x = 31,807,737.26
  5. Step 5: Solve for x
    x = 31,807,737.26/4,723.79
  6. Step 6: Final answer
    x = 6,733.52

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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.