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Finding the Fourth Proportional to 6,767.77, 10,144.77 and 3,072.63

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Solution

The fourth proportional to 6,767.77, 10,144.77 and 3,072.63 is: 4,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.77 : 10,144.77 = 3,072.63 : x
  2. Step 2: Convert to fraction form
    6,767.77/10,144.77 = 3,072.63/x
  3. Step 3: Cross multiply
    6,767.77x = 10,144.77 × 3,072.63
  4. Step 4: Simplify right side
    6,767.77x = 31,171,124.65
  5. Step 5: Solve for x
    x = 31,171,124.65/6,767.77
  6. Step 6: Final answer
    x = 4,605.82

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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.