Home / 1,983.77-2,731.36-1,684.43

Finding the Fourth Proportional to 1,983.77, 2,731.36 and 1,684.43

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Solution

The fourth proportional to 1,983.77, 2,731.36 and 1,684.43 is: 2,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.77 : 2,731.36 = 1,684.43 : x
  2. Step 2: Convert to fraction form
    1,983.77/2,731.36 = 1,684.43/x
  3. Step 3: Cross multiply
    1,983.77x = 2,731.36 × 1,684.43
  4. Step 4: Simplify right side
    1,983.77x = 4,600,780.26
  5. Step 5: Solve for x
    x = 4,600,780.26/1,983.77
  6. Step 6: Final answer
    x = 2,319.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.