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Finding the Fourth Proportional to 6,808.10, 10,212.42 and 1,878.13

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Solution

The fourth proportional to 6,808.10, 10,212.42 and 1,878.13 is: 2,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.10 : 10,212.42 = 1,878.13 : x
  2. Step 2: Convert to fraction form
    6,808.10/10,212.42 = 1,878.13/x
  3. Step 3: Cross multiply
    6,808.10x = 10,212.42 × 1,878.13
  4. Step 4: Simplify right side
    6,808.10x = 19,180,252.37
  5. Step 5: Solve for x
    x = 19,180,252.37/6,808.10
  6. Step 6: Final answer
    x = 2,817.27

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1.5x scale

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.