Home / 1,983.81-2,971.28-1,945.71

Finding the Fourth Proportional to 1,983.81, 2,971.28 and 1,945.71

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Solution

The fourth proportional to 1,983.81, 2,971.28 and 1,945.71 is: 2,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.81 : 2,971.28 = 1,945.71 : x
  2. Step 2: Convert to fraction form
    1,983.81/2,971.28 = 1,945.71/x
  3. Step 3: Cross multiply
    1,983.81x = 2,971.28 × 1,945.71
  4. Step 4: Simplify right side
    1,983.81x = 5,781,239.48
  5. Step 5: Solve for x
    x = 5,781,239.48/1,983.81
  6. Step 6: Final answer
    x = 2,914.21

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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.