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Finding the Fourth Proportional to 5,057.86, 7,588.68 and 3,213.76

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Solution

The fourth proportional to 5,057.86, 7,588.68 and 3,213.76 is: 4,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.86 : 7,588.68 = 3,213.76 : x
  2. Step 2: Convert to fraction form
    5,057.86/7,588.68 = 3,213.76/x
  3. Step 3: Cross multiply
    5,057.86x = 7,588.68 × 3,213.76
  4. Step 4: Simplify right side
    5,057.86x = 24,388,196.24
  5. Step 5: Solve for x
    x = 24,388,196.24/5,057.86
  6. Step 6: Final answer
    x = 4,821.84

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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.