Home / 1,982.36-2,734.64-1,609.76

Finding the Fourth Proportional to 1,982.36, 2,734.64 and 1,609.76

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Solution

The fourth proportional to 1,982.36, 2,734.64 and 1,609.76 is: 2,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.36 : 2,734.64 = 1,609.76 : x
  2. Step 2: Convert to fraction form
    1,982.36/2,734.64 = 1,609.76/x
  3. Step 3: Cross multiply
    1,982.36x = 2,734.64 × 1,609.76
  4. Step 4: Simplify right side
    1,982.36x = 4,402,114.09
  5. Step 5: Solve for x
    x = 4,402,114.09/1,982.36
  6. Step 6: Final answer
    x = 2,220.64

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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.