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Finding the Fourth Proportional to 2,381.95, 3,571.89 and 1,395.82

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Solution

The fourth proportional to 2,381.95, 3,571.89 and 1,395.82 is: 2,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.95 : 3,571.89 = 1,395.82 : x
  2. Step 2: Convert to fraction form
    2,381.95/3,571.89 = 1,395.82/x
  3. Step 3: Cross multiply
    2,381.95x = 3,571.89 × 1,395.82
  4. Step 4: Simplify right side
    2,381.95x = 4,985,715.50
  5. Step 5: Solve for x
    x = 4,985,715.50/2,381.95
  6. Step 6: Final answer
    x = 2,093.12

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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.