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Finding the Fourth Proportional to 3,084.56, 4,626.96 and 1,988

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Solution

The fourth proportional to 3,084.56, 4,626.96 and 1,988 is: 2,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.56 : 4,626.96 = 1,988 : x
  2. Step 2: Convert to fraction form
    3,084.56/4,626.96 = 1,988/x
  3. Step 3: Cross multiply
    3,084.56x = 4,626.96 × 1,988
  4. Step 4: Simplify right side
    3,084.56x = 9,198,396.48
  5. Step 5: Solve for x
    x = 9,198,396.48/3,084.56
  6. Step 6: Final answer
    x = 2,982.08

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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.