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Finding the Fourth Proportional to 1,992.83, 2,750.24 and 1,108.64

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Solution

The fourth proportional to 1,992.83, 2,750.24 and 1,108.64 is: 1,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.83 : 2,750.24 = 1,108.64 : x
  2. Step 2: Convert to fraction form
    1,992.83/2,750.24 = 1,108.64/x
  3. Step 3: Cross multiply
    1,992.83x = 2,750.24 × 1,108.64
  4. Step 4: Simplify right side
    1,992.83x = 3,049,018.17
  5. Step 5: Solve for x
    x = 3,049,018.17/1,992.83
  6. Step 6: Final answer
    x = 1,529.99

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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.