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Finding the Fourth Proportional to 5,125.86, 7,682.40 and 2,200.77

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Solution

The fourth proportional to 5,125.86, 7,682.40 and 2,200.77 is: 3,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.86 : 7,682.40 = 2,200.77 : x
  2. Step 2: Convert to fraction form
    5,125.86/7,682.40 = 2,200.77/x
  3. Step 3: Cross multiply
    5,125.86x = 7,682.40 × 2,200.77
  4. Step 4: Simplify right side
    5,125.86x = 16,907,195.45
  5. Step 5: Solve for x
    x = 16,907,195.45/5,125.86
  6. Step 6: Final answer
    x = 3,298.41

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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.