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Finding the Fourth Proportional to 5,245.14, 7,869.06 and 1,958.25

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Solution

The fourth proportional to 5,245.14, 7,869.06 and 1,958.25 is: 2,937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.14 : 7,869.06 = 1,958.25 : x
  2. Step 2: Convert to fraction form
    5,245.14/7,869.06 = 1,958.25/x
  3. Step 3: Cross multiply
    5,245.14x = 7,869.06 × 1,958.25
  4. Step 4: Simplify right side
    5,245.14x = 15,409,586.75
  5. Step 5: Solve for x
    x = 15,409,586.75/5,245.14
  6. Step 6: Final answer
    x = 2,937.88

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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.