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Finding the Fourth Proportional to 3,289.04, 4,933.60 and 980

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Solution

The fourth proportional to 3,289.04, 4,933.60 and 980 is: 1,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.04 : 4,933.60 = 980 : x
  2. Step 2: Convert to fraction form
    3,289.04/4,933.60 = 980/x
  3. Step 3: Cross multiply
    3,289.04x = 4,933.60 × 980
  4. Step 4: Simplify right side
    3,289.04x = 4,834,928
  5. Step 5: Solve for x
    x = 4,834,928/3,289.04
  6. Step 6: Final answer
    x = 1,470.01

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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.