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Finding the Fourth Proportional to 3,069.60, 4,604.44 and 989.84

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Solution

The fourth proportional to 3,069.60, 4,604.44 and 989.84 is: 1,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.60 : 4,604.44 = 989.84 : x
  2. Step 2: Convert to fraction form
    3,069.60/4,604.44 = 989.84/x
  3. Step 3: Cross multiply
    3,069.60x = 4,604.44 × 989.84
  4. Step 4: Simplify right side
    3,069.60x = 4,557,658.89
  5. Step 5: Solve for x
    x = 4,557,658.89/3,069.60
  6. Step 6: Final answer
    x = 1,484.77

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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.