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Finding the Fourth Proportional to 1,361.41, 1,874.00 and 1,186.45

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Solution

The fourth proportional to 1,361.41, 1,874.00 and 1,186.45 is: 1,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.41 : 1,874.00 = 1,186.45 : x
  2. Step 2: Convert to fraction form
    1,361.41/1,874.00 = 1,186.45/x
  3. Step 3: Cross multiply
    1,361.41x = 1,874.00 × 1,186.45
  4. Step 4: Simplify right side
    1,361.41x = 2,223,405.58
  5. Step 5: Solve for x
    x = 2,223,405.58/1,361.41
  6. Step 6: Final answer
    x = 1,633.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.