Home / 2,302.24-3,453.36-1,003

Finding the Fourth Proportional to 2,302.24, 3,453.36 and 1,003

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Solution

The fourth proportional to 2,302.24, 3,453.36 and 1,003 is: 1,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.24 : 3,453.36 = 1,003 : x
  2. Step 2: Convert to fraction form
    2,302.24/3,453.36 = 1,003/x
  3. Step 3: Cross multiply
    2,302.24x = 3,453.36 × 1,003
  4. Step 4: Simplify right side
    2,302.24x = 3,463,720.08
  5. Step 5: Solve for x
    x = 3,463,720.08/2,302.24
  6. Step 6: Final answer
    x = 1,504.50

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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.