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Finding the Fourth Proportional to 5,805.87, 8,709.47 and 2,109.84

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Solution

The fourth proportional to 5,805.87, 8,709.47 and 2,109.84 is: 3,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.87 : 8,709.47 = 2,109.84 : x
  2. Step 2: Convert to fraction form
    5,805.87/8,709.47 = 2,109.84/x
  3. Step 3: Cross multiply
    5,805.87x = 8,709.47 × 2,109.84
  4. Step 4: Simplify right side
    5,805.87x = 18,375,588.18
  5. Step 5: Solve for x
    x = 18,375,588.18/5,805.87
  6. Step 6: Final answer
    x = 3,165.00

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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.