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Finding the Fourth Proportional to 20,579.81, 30,866.14 and 5,785.22

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Solution

The fourth proportional to 20,579.81, 30,866.14 and 5,785.22 is: 8,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,579.81 : 30,866.14 = 5,785.22 : x
  2. Step 2: Convert to fraction form
    20,579.81/30,866.14 = 5,785.22/x
  3. Step 3: Cross multiply
    20,579.81x = 30,866.14 × 5,785.22
  4. Step 4: Simplify right side
    20,579.81x = 178,567,227.19
  5. Step 5: Solve for x
    x = 178,567,227.19/20,579.81
  6. Step 6: Final answer
    x = 8,676.82

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1.5x scale

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.