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Finding the Fourth Proportional to 2,361.78, 3,259.20 and 1,314

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Solution

The fourth proportional to 2,361.78, 3,259.20 and 1,314 is: 1,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.78 : 3,259.20 = 1,314 : x
  2. Step 2: Convert to fraction form
    2,361.78/3,259.20 = 1,314/x
  3. Step 3: Cross multiply
    2,361.78x = 3,259.20 × 1,314
  4. Step 4: Simplify right side
    2,361.78x = 4,282,588.80
  5. Step 5: Solve for x
    x = 4,282,588.80/2,361.78
  6. Step 6: Final answer
    x = 1,813.29

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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.