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Finding the Fourth Proportional to 7,395, 10,205.10 and 4,083

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Solution

The fourth proportional to 7,395, 10,205.10 and 4,083 is: 5,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395 : 10,205.10 = 4,083 : x
  2. Step 2: Convert to fraction form
    7,395/10,205.10 = 4,083/x
  3. Step 3: Cross multiply
    7,395x = 10,205.10 × 4,083
  4. Step 4: Simplify right side
    7,395x = 41,667,423.30
  5. Step 5: Solve for x
    x = 41,667,423.30/7,395
  6. Step 6: Final answer
    x = 5,634.54

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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.