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Finding the Fourth Proportional to 1,932.58, 2,891.58 and 1,111.24

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Solution

The fourth proportional to 1,932.58, 2,891.58 and 1,111.24 is: 1,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.58 : 2,891.58 = 1,111.24 : x
  2. Step 2: Convert to fraction form
    1,932.58/2,891.58 = 1,111.24/x
  3. Step 3: Cross multiply
    1,932.58x = 2,891.58 × 1,111.24
  4. Step 4: Simplify right side
    1,932.58x = 3,213,239.36
  5. Step 5: Solve for x
    x = 3,213,239.36/1,932.58
  6. Step 6: Final answer
    x = 1,662.67

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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.