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Finding the Fourth Proportional to 20,576.70, 30,866.40 and 5,786.10

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Solution

The fourth proportional to 20,576.70, 30,866.40 and 5,786.10 is: 8,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.70 : 30,866.40 = 5,786.10 : x
  2. Step 2: Convert to fraction form
    20,576.70/30,866.40 = 5,786.10/x
  3. Step 3: Cross multiply
    20,576.70x = 30,866.40 × 5,786.10
  4. Step 4: Simplify right side
    20,576.70x = 178,596,077.04
  5. Step 5: Solve for x
    x = 178,596,077.04/20,576.70
  6. Step 6: Final answer
    x = 8,679.53

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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.