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Finding the Fourth Proportional to 5,147.69, 7,757.79 and 4,654.66

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Solution

The fourth proportional to 5,147.69, 7,757.79 and 4,654.66 is: 7,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.69 : 7,757.79 = 4,654.66 : x
  2. Step 2: Convert to fraction form
    5,147.69/7,757.79 = 4,654.66/x
  3. Step 3: Cross multiply
    5,147.69x = 7,757.79 × 4,654.66
  4. Step 4: Simplify right side
    5,147.69x = 36,109,872.86
  5. Step 5: Solve for x
    x = 36,109,872.86/5,147.69
  6. Step 6: Final answer
    x = 7,014.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.