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Finding the Fourth Proportional to 3,866.49, 5,802.66 and 2,829.17

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Solution

The fourth proportional to 3,866.49, 5,802.66 and 2,829.17 is: 4,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.49 : 5,802.66 = 2,829.17 : x
  2. Step 2: Convert to fraction form
    3,866.49/5,802.66 = 2,829.17/x
  3. Step 3: Cross multiply
    3,866.49x = 5,802.66 × 2,829.17
  4. Step 4: Simplify right side
    3,866.49x = 16,416,711.95
  5. Step 5: Solve for x
    x = 16,416,711.95/3,866.49
  6. Step 6: Final answer
    x = 4,245.89

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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.