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Finding the Fourth Proportional to 2,302.85, 3,453.66 and 842.01

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Solution

The fourth proportional to 2,302.85, 3,453.66 and 842.01 is: 1,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.85 : 3,453.66 = 842.01 : x
  2. Step 2: Convert to fraction form
    2,302.85/3,453.66 = 842.01/x
  3. Step 3: Cross multiply
    2,302.85x = 3,453.66 × 842.01
  4. Step 4: Simplify right side
    2,302.85x = 2,908,016.26
  5. Step 5: Solve for x
    x = 2,908,016.26/2,302.85
  6. Step 6: Final answer
    x = 1,262.79

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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.