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Finding the Fourth Proportional to 1,924.63, 2,655.99 and 1,138.73

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Solution

The fourth proportional to 1,924.63, 2,655.99 and 1,138.73 is: 1,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.63 : 2,655.99 = 1,138.73 : x
  2. Step 2: Convert to fraction form
    1,924.63/2,655.99 = 1,138.73/x
  3. Step 3: Cross multiply
    1,924.63x = 2,655.99 × 1,138.73
  4. Step 4: Simplify right side
    1,924.63x = 3,024,442.21
  5. Step 5: Solve for x
    x = 3,024,442.21/1,924.63
  6. Step 6: Final answer
    x = 1,571.44

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