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Finding the Fourth Proportional to 3,297.70, 4,947.30 and 989.14

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Solution

The fourth proportional to 3,297.70, 4,947.30 and 989.14 is: 1,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.70 : 4,947.30 = 989.14 : x
  2. Step 2: Convert to fraction form
    3,297.70/4,947.30 = 989.14/x
  3. Step 3: Cross multiply
    3,297.70x = 4,947.30 × 989.14
  4. Step 4: Simplify right side
    3,297.70x = 4,893,572.32
  5. Step 5: Solve for x
    x = 4,893,572.32/3,297.70
  6. Step 6: Final answer
    x = 1,483.93

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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.