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Finding the Fourth Proportional to 4,982.58, 7,479.27 and 4,212.12

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Solution

The fourth proportional to 4,982.58, 7,479.27 and 4,212.12 is: 6,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.58 : 7,479.27 = 4,212.12 : x
  2. Step 2: Convert to fraction form
    4,982.58/7,479.27 = 4,212.12/x
  3. Step 3: Cross multiply
    4,982.58x = 7,479.27 × 4,212.12
  4. Step 4: Simplify right side
    4,982.58x = 31,503,582.75
  5. Step 5: Solve for x
    x = 31,503,582.75/4,982.58
  6. Step 6: Final answer
    x = 6,322.74

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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.