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Finding the Fourth Proportional to 10,670.85, 16,006.56 and 2,879.64

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Solution

The fourth proportional to 10,670.85, 16,006.56 and 2,879.64 is: 4,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.85 : 16,006.56 = 2,879.64 : x
  2. Step 2: Convert to fraction form
    10,670.85/16,006.56 = 2,879.64/x
  3. Step 3: Cross multiply
    10,670.85x = 16,006.56 × 2,879.64
  4. Step 4: Simplify right side
    10,670.85x = 46,093,130.44
  5. Step 5: Solve for x
    x = 46,093,130.44/10,670.85
  6. Step 6: Final answer
    x = 4,319.54

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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.