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Finding the Fourth Proportional to 2,128.41, 3,193.89 and 895.74

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Solution

The fourth proportional to 2,128.41, 3,193.89 and 895.74 is: 1,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.41 : 3,193.89 = 895.74 : x
  2. Step 2: Convert to fraction form
    2,128.41/3,193.89 = 895.74/x
  3. Step 3: Cross multiply
    2,128.41x = 3,193.89 × 895.74
  4. Step 4: Simplify right side
    2,128.41x = 2,860,895.03
  5. Step 5: Solve for x
    x = 2,860,895.03/2,128.41
  6. Step 6: Final answer
    x = 1,344.15

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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.