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Finding the Fourth Proportional to 6,858.60, 10,287.90 and 2,241.60

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Solution

The fourth proportional to 6,858.60, 10,287.90 and 2,241.60 is: 3,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.60 : 10,287.90 = 2,241.60 : x
  2. Step 2: Convert to fraction form
    6,858.60/10,287.90 = 2,241.60/x
  3. Step 3: Cross multiply
    6,858.60x = 10,287.90 × 2,241.60
  4. Step 4: Simplify right side
    6,858.60x = 23,061,356.64
  5. Step 5: Solve for x
    x = 23,061,356.64/6,858.60
  6. Step 6: Final answer
    x = 3,362.40

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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.