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Finding the Fourth Proportional to 5,102.98, 7,648.30 and 2,636.44

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Solution

The fourth proportional to 5,102.98, 7,648.30 and 2,636.44 is: 3,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.98 : 7,648.30 = 2,636.44 : x
  2. Step 2: Convert to fraction form
    5,102.98/7,648.30 = 2,636.44/x
  3. Step 3: Cross multiply
    5,102.98x = 7,648.30 × 2,636.44
  4. Step 4: Simplify right side
    5,102.98x = 20,164,284.05
  5. Step 5: Solve for x
    x = 20,164,284.05/5,102.98
  6. Step 6: Final answer
    x = 3,951.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.