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Finding the Fourth Proportional to 4,651.11, 6,978 and 1,876.35

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Solution

The fourth proportional to 4,651.11, 6,978 and 1,876.35 is: 2,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.11 : 6,978 = 1,876.35 : x
  2. Step 2: Convert to fraction form
    4,651.11/6,978 = 1,876.35/x
  3. Step 3: Cross multiply
    4,651.11x = 6,978 × 1,876.35
  4. Step 4: Simplify right side
    4,651.11x = 13,093,170.30
  5. Step 5: Solve for x
    x = 13,093,170.30/4,651.11
  6. Step 6: Final answer
    x = 2,815.06

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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.