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Finding the Fourth Proportional to 5,322.45, 7,983.69 and 1,859.70

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Solution

The fourth proportional to 5,322.45, 7,983.69 and 1,859.70 is: 2,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.45 : 7,983.69 = 1,859.70 : x
  2. Step 2: Convert to fraction form
    5,322.45/7,983.69 = 1,859.70/x
  3. Step 3: Cross multiply
    5,322.45x = 7,983.69 × 1,859.70
  4. Step 4: Simplify right side
    5,322.45x = 14,847,268.29
  5. Step 5: Solve for x
    x = 14,847,268.29/5,322.45
  6. Step 6: Final answer
    x = 2,789.56

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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.