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Finding the Fourth Proportional to 1,887.73, 2,823.50 and 1,361.84

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Solution

The fourth proportional to 1,887.73, 2,823.50 and 1,361.84 is: 2,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.73 : 2,823.50 = 1,361.84 : x
  2. Step 2: Convert to fraction form
    1,887.73/2,823.50 = 1,361.84/x
  3. Step 3: Cross multiply
    1,887.73x = 2,823.50 × 1,361.84
  4. Step 4: Simplify right side
    1,887.73x = 3,845,144.53
  5. Step 5: Solve for x
    x = 3,845,144.53/1,887.73
  6. Step 6: Final answer
    x = 2,036.92

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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.