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Finding the Fourth Proportional to 20,576.79, 30,865.23 and 7,429.14

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Solution

The fourth proportional to 20,576.79, 30,865.23 and 7,429.14 is: 11,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.79 : 30,865.23 = 7,429.14 : x
  2. Step 2: Convert to fraction form
    20,576.79/30,865.23 = 7,429.14/x
  3. Step 3: Cross multiply
    20,576.79x = 30,865.23 × 7,429.14
  4. Step 4: Simplify right side
    20,576.79x = 229,302,114.80
  5. Step 5: Solve for x
    x = 229,302,114.80/20,576.79
  6. Step 6: Final answer
    x = 11,143.73

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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.