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Finding the Fourth Proportional to 7,937.87, 11,907.10 and 3,007.88

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Solution

The fourth proportional to 7,937.87, 11,907.10 and 3,007.88 is: 4,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.87 : 11,907.10 = 3,007.88 : x
  2. Step 2: Convert to fraction form
    7,937.87/11,907.10 = 3,007.88/x
  3. Step 3: Cross multiply
    7,937.87x = 11,907.10 × 3,007.88
  4. Step 4: Simplify right side
    7,937.87x = 35,815,127.95
  5. Step 5: Solve for x
    x = 35,815,127.95/7,937.87
  6. Step 6: Final answer
    x = 4,511.93

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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.