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Finding the Fourth Proportional to 2,023, 2,791.76 and 1,138.76

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Solution

The fourth proportional to 2,023, 2,791.76 and 1,138.76 is: 1,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023 : 2,791.76 = 1,138.76 : x
  2. Step 2: Convert to fraction form
    2,023/2,791.76 = 1,138.76/x
  3. Step 3: Cross multiply
    2,023x = 2,791.76 × 1,138.76
  4. Step 4: Simplify right side
    2,023x = 3,179,144.62
  5. Step 5: Solve for x
    x = 3,179,144.62/2,023
  6. Step 6: Final answer
    x = 1,571.50

Related Problems

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Half scale
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1.5x scale

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.