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Finding the Fourth Proportional to 5,785.81, 7,984.42 and 3,133.22

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Solution

The fourth proportional to 5,785.81, 7,984.42 and 3,133.22 is: 4,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.81 : 7,984.42 = 3,133.22 : x
  2. Step 2: Convert to fraction form
    5,785.81/7,984.42 = 3,133.22/x
  3. Step 3: Cross multiply
    5,785.81x = 7,984.42 × 3,133.22
  4. Step 4: Simplify right side
    5,785.81x = 25,016,896.68
  5. Step 5: Solve for x
    x = 25,016,896.68/5,785.81
  6. Step 6: Final answer
    x = 4,323.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.