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Finding the Fourth Proportional to 6,048.80, 9,080.40 and 3,418.40

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Solution

The fourth proportional to 6,048.80, 9,080.40 and 3,418.40 is: 5,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.80 : 9,080.40 = 3,418.40 : x
  2. Step 2: Convert to fraction form
    6,048.80/9,080.40 = 3,418.40/x
  3. Step 3: Cross multiply
    6,048.80x = 9,080.40 × 3,418.40
  4. Step 4: Simplify right side
    6,048.80x = 31,040,439.36
  5. Step 5: Solve for x
    x = 31,040,439.36/6,048.80
  6. Step 6: Final answer
    x = 5,131.67

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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.