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Finding the Fourth Proportional to 5,245.64, 7,868.20 and 1,958.48

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Solution

The fourth proportional to 5,245.64, 7,868.20 and 1,958.48 is: 2,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.64 : 7,868.20 = 1,958.48 : x
  2. Step 2: Convert to fraction form
    5,245.64/7,868.20 = 1,958.48/x
  3. Step 3: Cross multiply
    5,245.64x = 7,868.20 × 1,958.48
  4. Step 4: Simplify right side
    5,245.64x = 15,409,682.23
  5. Step 5: Solve for x
    x = 15,409,682.23/5,245.64
  6. Step 6: Final answer
    x = 2,937.62

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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.