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Finding the Fourth Proportional to 8,253, 12,378.06 and 3,321.36

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Solution

The fourth proportional to 8,253, 12,378.06 and 3,321.36 is: 4,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253 : 12,378.06 = 3,321.36 : x
  2. Step 2: Convert to fraction form
    8,253/12,378.06 = 3,321.36/x
  3. Step 3: Cross multiply
    8,253x = 12,378.06 × 3,321.36
  4. Step 4: Simplify right side
    8,253x = 41,111,993.36
  5. Step 5: Solve for x
    x = 41,111,993.36/8,253
  6. Step 6: Final answer
    x = 4,981.46

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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.