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Finding the Fourth Proportional to 1,361.03, 1,877.46 and 836.96

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Solution

The fourth proportional to 1,361.03, 1,877.46 and 836.96 is: 1,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.03 : 1,877.46 = 836.96 : x
  2. Step 2: Convert to fraction form
    1,361.03/1,877.46 = 836.96/x
  3. Step 3: Cross multiply
    1,361.03x = 1,877.46 × 836.96
  4. Step 4: Simplify right side
    1,361.03x = 1,571,358.92
  5. Step 5: Solve for x
    x = 1,571,358.92/1,361.03
  6. Step 6: Final answer
    x = 1,154.54

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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.