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Finding the Fourth Proportional to 1,983, 2,736.54 and 1,155

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Solution

The fourth proportional to 1,983, 2,736.54 and 1,155 is: 1,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983 : 2,736.54 = 1,155 : x
  2. Step 2: Convert to fraction form
    1,983/2,736.54 = 1,155/x
  3. Step 3: Cross multiply
    1,983x = 2,736.54 × 1,155
  4. Step 4: Simplify right side
    1,983x = 3,160,703.70
  5. Step 5: Solve for x
    x = 3,160,703.70/1,983
  6. Step 6: Final answer
    x = 1,593.90

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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.