Home / 1,982.70-2,969.19-1,540.64

Finding the Fourth Proportional to 1,982.70, 2,969.19 and 1,540.64

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Solution

The fourth proportional to 1,982.70, 2,969.19 and 1,540.64 is: 2,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.70 : 2,969.19 = 1,540.64 : x
  2. Step 2: Convert to fraction form
    1,982.70/2,969.19 = 1,540.64/x
  3. Step 3: Cross multiply
    1,982.70x = 2,969.19 × 1,540.64
  4. Step 4: Simplify right side
    1,982.70x = 4,574,460.30
  5. Step 5: Solve for x
    x = 4,574,460.30/1,982.70
  6. Step 6: Final answer
    x = 2,307.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.