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Finding the Fourth Proportional to 2,302.43, 3,453.84 and 841.59

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Solution

The fourth proportional to 2,302.43, 3,453.84 and 841.59 is: 1,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.43 : 3,453.84 = 841.59 : x
  2. Step 2: Convert to fraction form
    2,302.43/3,453.84 = 841.59/x
  3. Step 3: Cross multiply
    2,302.43x = 3,453.84 × 841.59
  4. Step 4: Simplify right side
    2,302.43x = 2,906,717.21
  5. Step 5: Solve for x
    x = 2,906,717.21/2,302.43
  6. Step 6: Final answer
    x = 1,262.46

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1.5x scale

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.