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Finding the Fourth Proportional to 6,809.47, 10,214.54 and 1,879

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Solution

The fourth proportional to 6,809.47, 10,214.54 and 1,879 is: 2,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.47 : 10,214.54 = 1,879 : x
  2. Step 2: Convert to fraction form
    6,809.47/10,214.54 = 1,879/x
  3. Step 3: Cross multiply
    6,809.47x = 10,214.54 × 1,879
  4. Step 4: Simplify right side
    6,809.47x = 19,193,120.66
  5. Step 5: Solve for x
    x = 19,193,120.66/6,809.47
  6. Step 6: Final answer
    x = 2,818.59

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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.