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Finding the Fourth Proportional to 4,651.96, 6,415.86 and 3,157.42

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Solution

The fourth proportional to 4,651.96, 6,415.86 and 3,157.42 is: 4,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.96 : 6,415.86 = 3,157.42 : x
  2. Step 2: Convert to fraction form
    4,651.96/6,415.86 = 3,157.42/x
  3. Step 3: Cross multiply
    4,651.96x = 6,415.86 × 3,157.42
  4. Step 4: Simplify right side
    4,651.96x = 20,257,564.68
  5. Step 5: Solve for x
    x = 20,257,564.68/4,651.96
  6. Step 6: Final answer
    x = 4,354.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.