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Finding the Fourth Proportional to 4,509.78, 6,764.67 and 2,951.09

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Solution

The fourth proportional to 4,509.78, 6,764.67 and 2,951.09 is: 4,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.78 : 6,764.67 = 2,951.09 : x
  2. Step 2: Convert to fraction form
    4,509.78/6,764.67 = 2,951.09/x
  3. Step 3: Cross multiply
    4,509.78x = 6,764.67 × 2,951.09
  4. Step 4: Simplify right side
    4,509.78x = 19,963,135.23
  5. Step 5: Solve for x
    x = 19,963,135.23/4,509.78
  6. Step 6: Final answer
    x = 4,426.64

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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.