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Finding the Fourth Proportional to 2,857.69, 4,286.62 and 909.89

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Solution

The fourth proportional to 2,857.69, 4,286.62 and 909.89 is: 1,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.69 : 4,286.62 = 909.89 : x
  2. Step 2: Convert to fraction form
    2,857.69/4,286.62 = 909.89/x
  3. Step 3: Cross multiply
    2,857.69x = 4,286.62 × 909.89
  4. Step 4: Simplify right side
    2,857.69x = 3,900,361.11
  5. Step 5: Solve for x
    x = 3,900,361.11/2,857.69
  6. Step 6: Final answer
    x = 1,364.87

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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.