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Finding the Fourth Proportional to 3,223.98, 4,415.75 and 3,034.84

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Solution

The fourth proportional to 3,223.98, 4,415.75 and 3,034.84 is: 4,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.98 : 4,415.75 = 3,034.84 : x
  2. Step 2: Convert to fraction form
    3,223.98/4,415.75 = 3,034.84/x
  3. Step 3: Cross multiply
    3,223.98x = 4,415.75 × 3,034.84
  4. Step 4: Simplify right side
    3,223.98x = 13,401,094.73
  5. Step 5: Solve for x
    x = 13,401,094.73/3,223.98
  6. Step 6: Final answer
    x = 4,156.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.