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Finding the Fourth Proportional to 7,924.80, 10,957.10 and 6,940.65

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Solution

The fourth proportional to 7,924.80, 10,957.10 and 6,940.65 is: 9,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.80 : 10,957.10 = 6,940.65 : x
  2. Step 2: Convert to fraction form
    7,924.80/10,957.10 = 6,940.65/x
  3. Step 3: Cross multiply
    7,924.80x = 10,957.10 × 6,940.65
  4. Step 4: Simplify right side
    7,924.80x = 76,049,396.12
  5. Step 5: Solve for x
    x = 76,049,396.12/7,924.80
  6. Step 6: Final answer
    x = 9,596.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.