Home / 1,982.25-2,973.38-614.25

Finding the Fourth Proportional to 1,982.25, 2,973.38 and 614.25

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Solution

The fourth proportional to 1,982.25, 2,973.38 and 614.25 is: 921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.25 : 2,973.38 = 614.25 : x
  2. Step 2: Convert to fraction form
    1,982.25/2,973.38 = 614.25/x
  3. Step 3: Cross multiply
    1,982.25x = 2,973.38 × 614.25
  4. Step 4: Simplify right side
    1,982.25x = 1,826,395.59
  5. Step 5: Solve for x
    x = 1,826,395.59/1,982.25
  6. Step 6: Final answer
    x = 921.38

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1.5x scale

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.