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Finding the Fourth Proportional to 2,857.11, 4,285.82 and 909.15

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Solution

The fourth proportional to 2,857.11, 4,285.82 and 909.15 is: 1,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.11 : 4,285.82 = 909.15 : x
  2. Step 2: Convert to fraction form
    2,857.11/4,285.82 = 909.15/x
  3. Step 3: Cross multiply
    2,857.11x = 4,285.82 × 909.15
  4. Step 4: Simplify right side
    2,857.11x = 3,896,453.25
  5. Step 5: Solve for x
    x = 3,896,453.25/2,857.11
  6. Step 6: Final answer
    x = 1,363.77

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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.