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Finding the Fourth Proportional to 6,810, 10,215 and 1,879.68

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Solution

The fourth proportional to 6,810, 10,215 and 1,879.68 is: 2,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810 : 10,215 = 1,879.68 : x
  2. Step 2: Convert to fraction form
    6,810/10,215 = 1,879.68/x
  3. Step 3: Cross multiply
    6,810x = 10,215 × 1,879.68
  4. Step 4: Simplify right side
    6,810x = 19,200,931.20
  5. Step 5: Solve for x
    x = 19,200,931.20/6,810
  6. Step 6: Final answer
    x = 2,819.52

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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.