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Finding the Fourth Proportional to 6,907.80, 10,366.24 and 3,789.99

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Solution

The fourth proportional to 6,907.80, 10,366.24 and 3,789.99 is: 5,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.80 : 10,366.24 = 3,789.99 : x
  2. Step 2: Convert to fraction form
    6,907.80/10,366.24 = 3,789.99/x
  3. Step 3: Cross multiply
    6,907.80x = 10,366.24 × 3,789.99
  4. Step 4: Simplify right side
    6,907.80x = 39,287,936.46
  5. Step 5: Solve for x
    x = 39,287,936.46/6,907.80
  6. Step 6: Final answer
    x = 5,687.47

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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.