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Finding the Fourth Proportional to 2,381.40, 3,571.98 and 820.92

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Solution

The fourth proportional to 2,381.40, 3,571.98 and 820.92 is: 1,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.40 : 3,571.98 = 820.92 : x
  2. Step 2: Convert to fraction form
    2,381.40/3,571.98 = 820.92/x
  3. Step 3: Cross multiply
    2,381.40x = 3,571.98 × 820.92
  4. Step 4: Simplify right side
    2,381.40x = 2,932,309.82
  5. Step 5: Solve for x
    x = 2,932,309.82/2,381.40
  6. Step 6: Final answer
    x = 1,231.34

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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.