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Finding the Fourth Proportional to 3,098.64, 4,647.90 and 758.60

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Solution

The fourth proportional to 3,098.64, 4,647.90 and 758.60 is: 1,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.64 : 4,647.90 = 758.60 : x
  2. Step 2: Convert to fraction form
    3,098.64/4,647.90 = 758.60/x
  3. Step 3: Cross multiply
    3,098.64x = 4,647.90 × 758.60
  4. Step 4: Simplify right side
    3,098.64x = 3,525,873.70
  5. Step 5: Solve for x
    x = 3,525,873.70/3,098.64
  6. Step 6: Final answer
    x = 1,137.88

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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.