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Finding the Fourth Proportional to 2,302.84, 3,453.54 and 841.66

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Solution

The fourth proportional to 2,302.84, 3,453.54 and 841.66 is: 1,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.84 : 3,453.54 = 841.66 : x
  2. Step 2: Convert to fraction form
    2,302.84/3,453.54 = 841.66/x
  3. Step 3: Cross multiply
    2,302.84x = 3,453.54 × 841.66
  4. Step 4: Simplify right side
    2,302.84x = 2,906,706.48
  5. Step 5: Solve for x
    x = 2,906,706.48/2,302.84
  6. Step 6: Final answer
    x = 1,262.23

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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.