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Finding the Fourth Proportional to 1,361.64, 1,875.78 and 1,278.12

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Solution

The fourth proportional to 1,361.64, 1,875.78 and 1,278.12 is: 1,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.64 : 1,875.78 = 1,278.12 : x
  2. Step 2: Convert to fraction form
    1,361.64/1,875.78 = 1,278.12/x
  3. Step 3: Cross multiply
    1,361.64x = 1,875.78 × 1,278.12
  4. Step 4: Simplify right side
    1,361.64x = 2,397,471.93
  5. Step 5: Solve for x
    x = 2,397,471.93/1,361.64
  6. Step 6: Final answer
    x = 1,760.72

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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.