Home / 1,983.25-2,973.40-1,203.43

Finding the Fourth Proportional to 1,983.25, 2,973.40 and 1,203.43

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Solution

The fourth proportional to 1,983.25, 2,973.40 and 1,203.43 is: 1,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.25 : 2,973.40 = 1,203.43 : x
  2. Step 2: Convert to fraction form
    1,983.25/2,973.40 = 1,203.43/x
  3. Step 3: Cross multiply
    1,983.25x = 2,973.40 × 1,203.43
  4. Step 4: Simplify right side
    1,983.25x = 3,578,278.76
  5. Step 5: Solve for x
    x = 3,578,278.76/1,983.25
  6. Step 6: Final answer
    x = 1,804.25

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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.