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Finding the Fourth Proportional to 2,381.53, 3,571.89 and 649.75

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Solution

The fourth proportional to 2,381.53, 3,571.89 and 649.75 is: 974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.53 : 3,571.89 = 649.75 : x
  2. Step 2: Convert to fraction form
    2,381.53/3,571.89 = 649.75/x
  3. Step 3: Cross multiply
    2,381.53x = 3,571.89 × 649.75
  4. Step 4: Simplify right side
    2,381.53x = 2,320,835.53
  5. Step 5: Solve for x
    x = 2,320,835.53/2,381.53
  6. Step 6: Final answer
    x = 974.51

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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.