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Finding the Fourth Proportional to 2,381.03, 3,571.55 and 821.48

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Solution

The fourth proportional to 2,381.03, 3,571.55 and 821.48 is: 1,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.03 : 3,571.55 = 821.48 : x
  2. Step 2: Convert to fraction form
    2,381.03/3,571.55 = 821.48/x
  3. Step 3: Cross multiply
    2,381.03x = 3,571.55 × 821.48
  4. Step 4: Simplify right side
    2,381.03x = 2,933,952.79
  5. Step 5: Solve for x
    x = 2,933,952.79/2,381.03
  6. Step 6: Final answer
    x = 1,232.22

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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.