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Finding the Fourth Proportional to 3,205, 4,803.81 and 1,448.11

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Solution

The fourth proportional to 3,205, 4,803.81 and 1,448.11 is: 2,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205 : 4,803.81 = 1,448.11 : x
  2. Step 2: Convert to fraction form
    3,205/4,803.81 = 1,448.11/x
  3. Step 3: Cross multiply
    3,205x = 4,803.81 × 1,448.11
  4. Step 4: Simplify right side
    3,205x = 6,956,445.30
  5. Step 5: Solve for x
    x = 6,956,445.30/3,205
  6. Step 6: Final answer
    x = 2,170.50

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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.