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Finding the Fourth Proportional to 2,857.40, 4,286.42 and 909.15

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Solution

The fourth proportional to 2,857.40, 4,286.42 and 909.15 is: 1,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.40 : 4,286.42 = 909.15 : x
  2. Step 2: Convert to fraction form
    2,857.40/4,286.42 = 909.15/x
  3. Step 3: Cross multiply
    2,857.40x = 4,286.42 × 909.15
  4. Step 4: Simplify right side
    2,857.40x = 3,896,998.74
  5. Step 5: Solve for x
    x = 3,896,998.74/2,857.40
  6. Step 6: Final answer
    x = 1,363.83

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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.