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Finding the Fourth Proportional to 4,777, 7,162.86 and 3,216.92

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Solution

The fourth proportional to 4,777, 7,162.86 and 3,216.92 is: 4,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777 : 7,162.86 = 3,216.92 : x
  2. Step 2: Convert to fraction form
    4,777/7,162.86 = 3,216.92/x
  3. Step 3: Cross multiply
    4,777x = 7,162.86 × 3,216.92
  4. Step 4: Simplify right side
    4,777x = 23,042,347.59
  5. Step 5: Solve for x
    x = 23,042,347.59/4,777
  6. Step 6: Final answer
    x = 4,823.60

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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.