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Finding the Fourth Proportional to 2,860.75, 4,272.09 and 2,829.82

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Solution

The fourth proportional to 2,860.75, 4,272.09 and 2,829.82 is: 4,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.75 : 4,272.09 = 2,829.82 : x
  2. Step 2: Convert to fraction form
    2,860.75/4,272.09 = 2,829.82/x
  3. Step 3: Cross multiply
    2,860.75x = 4,272.09 × 2,829.82
  4. Step 4: Simplify right side
    2,860.75x = 12,089,245.72
  5. Step 5: Solve for x
    x = 12,089,245.72/2,860.75
  6. Step 6: Final answer
    x = 4,225.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.