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Finding the Fourth Proportional to 7,157.69, 10,727.72 and 3,411.44

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Solution

The fourth proportional to 7,157.69, 10,727.72 and 3,411.44 is: 5,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.69 : 10,727.72 = 3,411.44 : x
  2. Step 2: Convert to fraction form
    7,157.69/10,727.72 = 3,411.44/x
  3. Step 3: Cross multiply
    7,157.69x = 10,727.72 × 3,411.44
  4. Step 4: Simplify right side
    7,157.69x = 36,596,974.63
  5. Step 5: Solve for x
    x = 36,596,974.63/7,157.69
  6. Step 6: Final answer
    x = 5,112.96

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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.