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Finding the Fourth Proportional to 4,509.80, 6,766.72 and 2,865.90

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Solution

The fourth proportional to 4,509.80, 6,766.72 and 2,865.90 is: 4,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.80 : 6,766.72 = 2,865.90 : x
  2. Step 2: Convert to fraction form
    4,509.80/6,766.72 = 2,865.90/x
  3. Step 3: Cross multiply
    4,509.80x = 6,766.72 × 2,865.90
  4. Step 4: Simplify right side
    4,509.80x = 19,392,735.68
  5. Step 5: Solve for x
    x = 19,392,735.68/4,509.80
  6. Step 6: Final answer
    x = 4,300.14

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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.