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Finding the Fourth Proportional to 3,406, 4,696.82 and 3,207.58

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Solution

The fourth proportional to 3,406, 4,696.82 and 3,207.58 is: 4,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406 : 4,696.82 = 3,207.58 : x
  2. Step 2: Convert to fraction form
    3,406/4,696.82 = 3,207.58/x
  3. Step 3: Cross multiply
    3,406x = 4,696.82 × 3,207.58
  4. Step 4: Simplify right side
    3,406x = 15,065,425.90
  5. Step 5: Solve for x
    x = 15,065,425.90/3,406
  6. Step 6: Final answer
    x = 4,423.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.