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Finding the Fourth Proportional to 2,834.62, 4,252.47 and 886.42

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Solution

The fourth proportional to 2,834.62, 4,252.47 and 886.42 is: 1,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.62 : 4,252.47 = 886.42 : x
  2. Step 2: Convert to fraction form
    2,834.62/4,252.47 = 886.42/x
  3. Step 3: Cross multiply
    2,834.62x = 4,252.47 × 886.42
  4. Step 4: Simplify right side
    2,834.62x = 3,769,474.46
  5. Step 5: Solve for x
    x = 3,769,474.46/2,834.62
  6. Step 6: Final answer
    x = 1,329.80

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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.