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Finding the Fourth Proportional to 2,803.95, 3,865.22 and 2,305.73

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Solution

The fourth proportional to 2,803.95, 3,865.22 and 2,305.73 is: 3,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.95 : 3,865.22 = 2,305.73 : x
  2. Step 2: Convert to fraction form
    2,803.95/3,865.22 = 2,305.73/x
  3. Step 3: Cross multiply
    2,803.95x = 3,865.22 × 2,305.73
  4. Step 4: Simplify right side
    2,803.95x = 8,912,153.71
  5. Step 5: Solve for x
    x = 8,912,153.71/2,803.95
  6. Step 6: Final answer
    x = 3,178.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.