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Finding the Fourth Proportional to 2,512.86, 3,762.33 and 1,636.39

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Solution

The fourth proportional to 2,512.86, 3,762.33 and 1,636.39 is: 2,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.86 : 3,762.33 = 1,636.39 : x
  2. Step 2: Convert to fraction form
    2,512.86/3,762.33 = 1,636.39/x
  3. Step 3: Cross multiply
    2,512.86x = 3,762.33 × 1,636.39
  4. Step 4: Simplify right side
    2,512.86x = 6,156,639.19
  5. Step 5: Solve for x
    x = 6,156,639.19/2,512.86
  6. Step 6: Final answer
    x = 2,450.05

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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.