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Finding the Fourth Proportional to 3,836.69, 5,290.47 and 3,334.89

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Solution

The fourth proportional to 3,836.69, 5,290.47 and 3,334.89 is: 4,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.69 : 5,290.47 = 3,334.89 : x
  2. Step 2: Convert to fraction form
    3,836.69/5,290.47 = 3,334.89/x
  3. Step 3: Cross multiply
    3,836.69x = 5,290.47 × 3,334.89
  4. Step 4: Simplify right side
    3,836.69x = 17,643,135.50
  5. Step 5: Solve for x
    x = 17,643,135.50/3,836.69
  6. Step 6: Final answer
    x = 4,598.54

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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.