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Finding the Fourth Proportional to 20,576.81, 30,860.42 and 5,787.15

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Solution

The fourth proportional to 20,576.81, 30,860.42 and 5,787.15 is: 8,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.81 : 30,860.42 = 5,787.15 : x
  2. Step 2: Convert to fraction form
    20,576.81/30,860.42 = 5,787.15/x
  3. Step 3: Cross multiply
    20,576.81x = 30,860.42 × 5,787.15
  4. Step 4: Simplify right side
    20,576.81x = 178,593,850.67
  5. Step 5: Solve for x
    x = 178,593,850.67/20,576.81
  6. Step 6: Final answer
    x = 8,679.38

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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.