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Finding the Fourth Proportional to 3,320.36, 4,978.82 and 980.07

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Solution

The fourth proportional to 3,320.36, 4,978.82 and 980.07 is: 1,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.36 : 4,978.82 = 980.07 : x
  2. Step 2: Convert to fraction form
    3,320.36/4,978.82 = 980.07/x
  3. Step 3: Cross multiply
    3,320.36x = 4,978.82 × 980.07
  4. Step 4: Simplify right side
    3,320.36x = 4,879,575.90
  5. Step 5: Solve for x
    x = 4,879,575.90/3,320.36
  6. Step 6: Final answer
    x = 1,469.59

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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.