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Finding the Fourth Proportional to 1,361.64, 1,878.92 and 963.84

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Solution

The fourth proportional to 1,361.64, 1,878.92 and 963.84 is: 1,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.64 : 1,878.92 = 963.84 : x
  2. Step 2: Convert to fraction form
    1,361.64/1,878.92 = 963.84/x
  3. Step 3: Cross multiply
    1,361.64x = 1,878.92 × 963.84
  4. Step 4: Simplify right side
    1,361.64x = 1,810,978.25
  5. Step 5: Solve for x
    x = 1,810,978.25/1,361.64
  6. Step 6: Final answer
    x = 1,330.00

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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.