Home / 2,205.78-3,043.10-1,420.28

Finding the Fourth Proportional to 2,205.78, 3,043.10 and 1,420.28

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Solution

The fourth proportional to 2,205.78, 3,043.10 and 1,420.28 is: 1,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.78 : 3,043.10 = 1,420.28 : x
  2. Step 2: Convert to fraction form
    2,205.78/3,043.10 = 1,420.28/x
  3. Step 3: Cross multiply
    2,205.78x = 3,043.10 × 1,420.28
  4. Step 4: Simplify right side
    2,205.78x = 4,322,031.75
  5. Step 5: Solve for x
    x = 4,322,031.75/2,205.78
  6. Step 6: Final answer
    x = 1,959.41

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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.