Home / 1,974.40-2,721.36-1,600

Finding the Fourth Proportional to 1,974.40, 2,721.36 and 1,600

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Solution

The fourth proportional to 1,974.40, 2,721.36 and 1,600 is: 2,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.40 : 2,721.36 = 1,600 : x
  2. Step 2: Convert to fraction form
    1,974.40/2,721.36 = 1,600/x
  3. Step 3: Cross multiply
    1,974.40x = 2,721.36 × 1,600
  4. Step 4: Simplify right side
    1,974.40x = 4,354,176
  5. Step 5: Solve for x
    x = 4,354,176/1,974.40
  6. Step 6: Final answer
    x = 2,205.32

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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.