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Finding the Fourth Proportional to 4,544.80, 6,811.80 and 1,912.30

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Solution

The fourth proportional to 4,544.80, 6,811.80 and 1,912.30 is: 2,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.80 : 6,811.80 = 1,912.30 : x
  2. Step 2: Convert to fraction form
    4,544.80/6,811.80 = 1,912.30/x
  3. Step 3: Cross multiply
    4,544.80x = 6,811.80 × 1,912.30
  4. Step 4: Simplify right side
    4,544.80x = 13,026,205.14
  5. Step 5: Solve for x
    x = 13,026,205.14/4,544.80
  6. Step 6: Final answer
    x = 2,866.18

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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.