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Finding the Fourth Proportional to 3,493.09, 5,239.69 and 860.60

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Solution

The fourth proportional to 3,493.09, 5,239.69 and 860.60 is: 1,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.09 : 5,239.69 = 860.60 : x
  2. Step 2: Convert to fraction form
    3,493.09/5,239.69 = 860.60/x
  3. Step 3: Cross multiply
    3,493.09x = 5,239.69 × 860.60
  4. Step 4: Simplify right side
    3,493.09x = 4,509,277.21
  5. Step 5: Solve for x
    x = 4,509,277.21/3,493.09
  6. Step 6: Final answer
    x = 1,290.91

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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.