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Finding the Fourth Proportional to 6,879.68, 10,319.52 and 2,984

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Solution

The fourth proportional to 6,879.68, 10,319.52 and 2,984 is: 4,476

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.68 : 10,319.52 = 2,984 : x
  2. Step 2: Convert to fraction form
    6,879.68/10,319.52 = 2,984/x
  3. Step 3: Cross multiply
    6,879.68x = 10,319.52 × 2,984
  4. Step 4: Simplify right side
    6,879.68x = 30,793,447.68
  5. Step 5: Solve for x
    x = 30,793,447.68/6,879.68
  6. Step 6: Final answer
    x = 4,476

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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.