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Finding the Fourth Proportional to 7,960.87, 11,941.31 and 6,115.29

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Solution

The fourth proportional to 7,960.87, 11,941.31 and 6,115.29 is: 9,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.87 : 11,941.31 = 6,115.29 : x
  2. Step 2: Convert to fraction form
    7,960.87/11,941.31 = 6,115.29/x
  3. Step 3: Cross multiply
    7,960.87x = 11,941.31 × 6,115.29
  4. Step 4: Simplify right side
    7,960.87x = 73,024,573.63
  5. Step 5: Solve for x
    x = 73,024,573.63/7,960.87
  6. Step 6: Final answer
    x = 9,172.94

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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.