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Finding the Fourth Proportional to 6,808, 10,212.58 and 1,878.04

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Solution

The fourth proportional to 6,808, 10,212.58 and 1,878.04 is: 2,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808 : 10,212.58 = 1,878.04 : x
  2. Step 2: Convert to fraction form
    6,808/10,212.58 = 1,878.04/x
  3. Step 3: Cross multiply
    6,808x = 10,212.58 × 1,878.04
  4. Step 4: Simplify right side
    6,808x = 19,179,633.74
  5. Step 5: Solve for x
    x = 19,179,633.74/6,808
  6. Step 6: Final answer
    x = 2,817.22

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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.