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Finding the Fourth Proportional to 6,678.68, 10,014.68 and 3,906.06

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Solution

The fourth proportional to 6,678.68, 10,014.68 and 3,906.06 is: 5,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.68 : 10,014.68 = 3,906.06 : x
  2. Step 2: Convert to fraction form
    6,678.68/10,014.68 = 3,906.06/x
  3. Step 3: Cross multiply
    6,678.68x = 10,014.68 × 3,906.06
  4. Step 4: Simplify right side
    6,678.68x = 39,117,940.96
  5. Step 5: Solve for x
    x = 39,117,940.96/6,678.68
  6. Step 6: Final answer
    x = 5,857.14

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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.