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Finding the Fourth Proportional to 2,857.65, 4,286.79 and 909.41

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Solution

The fourth proportional to 2,857.65, 4,286.79 and 909.41 is: 1,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.65 : 4,286.79 = 909.41 : x
  2. Step 2: Convert to fraction form
    2,857.65/4,286.79 = 909.41/x
  3. Step 3: Cross multiply
    2,857.65x = 4,286.79 × 909.41
  4. Step 4: Simplify right side
    2,857.65x = 3,898,428.26
  5. Step 5: Solve for x
    x = 3,898,428.26/2,857.65
  6. Step 6: Final answer
    x = 1,364.21

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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.