Home / 1,983.08-2,969.40-1,749.54

Finding the Fourth Proportional to 1,983.08, 2,969.40 and 1,749.54

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Solution

The fourth proportional to 1,983.08, 2,969.40 and 1,749.54 is: 2,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.08 : 2,969.40 = 1,749.54 : x
  2. Step 2: Convert to fraction form
    1,983.08/2,969.40 = 1,749.54/x
  3. Step 3: Cross multiply
    1,983.08x = 2,969.40 × 1,749.54
  4. Step 4: Simplify right side
    1,983.08x = 5,195,084.08
  5. Step 5: Solve for x
    x = 5,195,084.08/1,983.08
  6. Step 6: Final answer
    x = 2,619.70

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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.