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Finding the Fourth Proportional to 1,361.63, 1,877.01 and 836.75

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Solution

The fourth proportional to 1,361.63, 1,877.01 and 836.75 is: 1,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.63 : 1,877.01 = 836.75 : x
  2. Step 2: Convert to fraction form
    1,361.63/1,877.01 = 836.75/x
  3. Step 3: Cross multiply
    1,361.63x = 1,877.01 × 836.75
  4. Step 4: Simplify right side
    1,361.63x = 1,570,588.12
  5. Step 5: Solve for x
    x = 1,570,588.12/1,361.63
  6. Step 6: Final answer
    x = 1,153.46

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1.5x scale

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.