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Finding the Fourth Proportional to 1,808.24, 2,709.70 and 882.73

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Solution

The fourth proportional to 1,808.24, 2,709.70 and 882.73 is: 1,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.24 : 2,709.70 = 882.73 : x
  2. Step 2: Convert to fraction form
    1,808.24/2,709.70 = 882.73/x
  3. Step 3: Cross multiply
    1,808.24x = 2,709.70 × 882.73
  4. Step 4: Simplify right side
    1,808.24x = 2,391,933.48
  5. Step 5: Solve for x
    x = 2,391,933.48/1,808.24
  6. Step 6: Final answer
    x = 1,322.80

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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.