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Finding the Fourth Proportional to 2,980.36, 4,470.34 and 900.42

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Solution

The fourth proportional to 2,980.36, 4,470.34 and 900.42 is: 1,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.36 : 4,470.34 = 900.42 : x
  2. Step 2: Convert to fraction form
    2,980.36/4,470.34 = 900.42/x
  3. Step 3: Cross multiply
    2,980.36x = 4,470.34 × 900.42
  4. Step 4: Simplify right side
    2,980.36x = 4,025,183.54
  5. Step 5: Solve for x
    x = 4,025,183.54/2,980.36
  6. Step 6: Final answer
    x = 1,350.57

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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.