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Finding the Fourth Proportional to 4,751.77, 7,129.09 and 3,367.78

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Solution

The fourth proportional to 4,751.77, 7,129.09 and 3,367.78 is: 5,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.77 : 7,129.09 = 3,367.78 : x
  2. Step 2: Convert to fraction form
    4,751.77/7,129.09 = 3,367.78/x
  3. Step 3: Cross multiply
    4,751.77x = 7,129.09 × 3,367.78
  4. Step 4: Simplify right side
    4,751.77x = 24,009,206.72
  5. Step 5: Solve for x
    x = 24,009,206.72/4,751.77
  6. Step 6: Final answer
    x = 5,052.69

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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.