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Finding the Fourth Proportional to 5,322.56, 7,984.79 and 1,812.39

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Solution

The fourth proportional to 5,322.56, 7,984.79 and 1,812.39 is: 2,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.56 : 7,984.79 = 1,812.39 : x
  2. Step 2: Convert to fraction form
    5,322.56/7,984.79 = 1,812.39/x
  3. Step 3: Cross multiply
    5,322.56x = 7,984.79 × 1,812.39
  4. Step 4: Simplify right side
    5,322.56x = 14,471,544.49
  5. Step 5: Solve for x
    x = 14,471,544.49/5,322.56
  6. Step 6: Final answer
    x = 2,718.91

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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.