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Finding the Fourth Proportional to 4,654.85, 6,978.34 and 2,020.38

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Solution

The fourth proportional to 4,654.85, 6,978.34 and 2,020.38 is: 3,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.85 : 6,978.34 = 2,020.38 : x
  2. Step 2: Convert to fraction form
    4,654.85/6,978.34 = 2,020.38/x
  3. Step 3: Cross multiply
    4,654.85x = 6,978.34 × 2,020.38
  4. Step 4: Simplify right side
    4,654.85x = 14,098,870.85
  5. Step 5: Solve for x
    x = 14,098,870.85/4,654.85
  6. Step 6: Final answer
    x = 3,028.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.