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Finding the Fourth Proportional to 3,069.29, 4,604.85 and 989.62

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Solution

The fourth proportional to 3,069.29, 4,604.85 and 989.62 is: 1,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.29 : 4,604.85 = 989.62 : x
  2. Step 2: Convert to fraction form
    3,069.29/4,604.85 = 989.62/x
  3. Step 3: Cross multiply
    3,069.29x = 4,604.85 × 989.62
  4. Step 4: Simplify right side
    3,069.29x = 4,557,040.14
  5. Step 5: Solve for x
    x = 4,557,040.14/3,069.29
  6. Step 6: Final answer
    x = 1,484.72

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1.5x scale

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.