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Finding the Fourth Proportional to 5,245.97, 7,864.49 and 1,958.45

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Solution

The fourth proportional to 5,245.97, 7,864.49 and 1,958.45 is: 2,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.97 : 7,864.49 = 1,958.45 : x
  2. Step 2: Convert to fraction form
    5,245.97/7,864.49 = 1,958.45/x
  3. Step 3: Cross multiply
    5,245.97x = 7,864.49 × 1,958.45
  4. Step 4: Simplify right side
    5,245.97x = 15,402,176.01
  5. Step 5: Solve for x
    x = 15,402,176.01/5,245.97
  6. Step 6: Final answer
    x = 2,936.00

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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.