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Finding the Fourth Proportional to 2,938.25, 4,404.60 and 989.09

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Solution

The fourth proportional to 2,938.25, 4,404.60 and 989.09 is: 1,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.25 : 4,404.60 = 989.09 : x
  2. Step 2: Convert to fraction form
    2,938.25/4,404.60 = 989.09/x
  3. Step 3: Cross multiply
    2,938.25x = 4,404.60 × 989.09
  4. Step 4: Simplify right side
    2,938.25x = 4,356,530.70
  5. Step 5: Solve for x
    x = 4,356,530.70/2,938.25
  6. Step 6: Final answer
    x = 1,482.70

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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.