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Finding the Fourth Proportional to 4,770.86, 7,156.29 and 2,174.54

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Solution

The fourth proportional to 4,770.86, 7,156.29 and 2,174.54 is: 3,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.86 : 7,156.29 = 2,174.54 : x
  2. Step 2: Convert to fraction form
    4,770.86/7,156.29 = 2,174.54/x
  3. Step 3: Cross multiply
    4,770.86x = 7,156.29 × 2,174.54
  4. Step 4: Simplify right side
    4,770.86x = 15,561,638.86
  5. Step 5: Solve for x
    x = 15,561,638.86/4,770.86
  6. Step 6: Final answer
    x = 3,261.81

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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.