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Finding the Fourth Proportional to 20,568.57, 30,848.04 and 5,778.90

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Solution

The fourth proportional to 20,568.57, 30,848.04 and 5,778.90 is: 8,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.57 : 30,848.04 = 5,778.90 : x
  2. Step 2: Convert to fraction form
    20,568.57/30,848.04 = 5,778.90/x
  3. Step 3: Cross multiply
    20,568.57x = 30,848.04 × 5,778.90
  4. Step 4: Simplify right side
    20,568.57x = 178,267,738.36
  5. Step 5: Solve for x
    x = 178,267,738.36/20,568.57
  6. Step 6: Final answer
    x = 8,667.00

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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.