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Finding the Fourth Proportional to 1,932.72, 2,898.84 and 1,108.32

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Solution

The fourth proportional to 1,932.72, 2,898.84 and 1,108.32 is: 1,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.72 : 2,898.84 = 1,108.32 : x
  2. Step 2: Convert to fraction form
    1,932.72/2,898.84 = 1,108.32/x
  3. Step 3: Cross multiply
    1,932.72x = 2,898.84 × 1,108.32
  4. Step 4: Simplify right side
    1,932.72x = 3,212,842.35
  5. Step 5: Solve for x
    x = 3,212,842.35/1,932.72
  6. Step 6: Final answer
    x = 1,662.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.