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Finding the Fourth Proportional to 4,761.73, 7,129.77 and 3,880.63

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Solution

The fourth proportional to 4,761.73, 7,129.77 and 3,880.63 is: 5,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.73 : 7,129.77 = 3,880.63 : x
  2. Step 2: Convert to fraction form
    4,761.73/7,129.77 = 3,880.63/x
  3. Step 3: Cross multiply
    4,761.73x = 7,129.77 × 3,880.63
  4. Step 4: Simplify right side
    4,761.73x = 27,667,999.36
  5. Step 5: Solve for x
    x = 27,667,999.36/4,761.73
  6. Step 6: Final answer
    x = 5,810.49

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1.5x scale

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.