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Finding the Fourth Proportional to 6,858.34, 10,286.74 and 1,928.16

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Solution

The fourth proportional to 6,858.34, 10,286.74 and 1,928.16 is: 2,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.34 : 10,286.74 = 1,928.16 : x
  2. Step 2: Convert to fraction form
    6,858.34/10,286.74 = 1,928.16/x
  3. Step 3: Cross multiply
    6,858.34x = 10,286.74 × 1,928.16
  4. Step 4: Simplify right side
    6,858.34x = 19,834,480.60
  5. Step 5: Solve for x
    x = 19,834,480.60/6,858.34
  6. Step 6: Final answer
    x = 2,892.02

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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.