Home / 1,513.36-2,254.82-1,414

Finding the Fourth Proportional to 1,513.36, 2,254.82 and 1,414

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Solution

The fourth proportional to 1,513.36, 2,254.82 and 1,414 is: 2,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.36 : 2,254.82 = 1,414 : x
  2. Step 2: Convert to fraction form
    1,513.36/2,254.82 = 1,414/x
  3. Step 3: Cross multiply
    1,513.36x = 2,254.82 × 1,414
  4. Step 4: Simplify right side
    1,513.36x = 3,188,315.48
  5. Step 5: Solve for x
    x = 3,188,315.48/1,513.36
  6. Step 6: Final answer
    x = 2,106.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.