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Finding the Fourth Proportional to 6,776.49, 10,168.77 and 3,078.69

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Solution

The fourth proportional to 6,776.49, 10,168.77 and 3,078.69 is: 4,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.49 : 10,168.77 = 3,078.69 : x
  2. Step 2: Convert to fraction form
    6,776.49/10,168.77 = 3,078.69/x
  3. Step 3: Cross multiply
    6,776.49x = 10,168.77 × 3,078.69
  4. Step 4: Simplify right side
    6,776.49x = 31,306,490.51
  5. Step 5: Solve for x
    x = 31,306,490.51/6,776.49
  6. Step 6: Final answer
    x = 4,619.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.