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Finding the Fourth Proportional to 5,805.64, 8,706.36 and 1,909

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Solution

The fourth proportional to 5,805.64, 8,706.36 and 1,909 is: 2,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.64 : 8,706.36 = 1,909 : x
  2. Step 2: Convert to fraction form
    5,805.64/8,706.36 = 1,909/x
  3. Step 3: Cross multiply
    5,805.64x = 8,706.36 × 1,909
  4. Step 4: Simplify right side
    5,805.64x = 16,620,441.24
  5. Step 5: Solve for x
    x = 16,620,441.24/5,805.64
  6. Step 6: Final answer
    x = 2,862.81

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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.