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Finding the Fourth Proportional to 6,786, 10,178.19 and 2,891.52

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Solution

The fourth proportional to 6,786, 10,178.19 and 2,891.52 is: 4,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 10,178.19 = 2,891.52 : x
  2. Step 2: Convert to fraction form
    6,786/10,178.19 = 2,891.52/x
  3. Step 3: Cross multiply
    6,786x = 10,178.19 × 2,891.52
  4. Step 4: Simplify right side
    6,786x = 29,430,425.49
  5. Step 5: Solve for x
    x = 29,430,425.49/6,786
  6. Step 6: Final answer
    x = 4,336.93

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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.