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Finding the Fourth Proportional to 5,709.46, 8,564.43 and 1,813.78

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Solution

The fourth proportional to 5,709.46, 8,564.43 and 1,813.78 is: 2,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.46 : 8,564.43 = 1,813.78 : x
  2. Step 2: Convert to fraction form
    5,709.46/8,564.43 = 1,813.78/x
  3. Step 3: Cross multiply
    5,709.46x = 8,564.43 × 1,813.78
  4. Step 4: Simplify right side
    5,709.46x = 15,533,991.85
  5. Step 5: Solve for x
    x = 15,533,991.85/5,709.46
  6. Step 6: Final answer
    x = 2,720.75

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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.