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Finding the Fourth Proportional to 5,475.39, 8,205.39 and 2,506.55

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Solution

The fourth proportional to 5,475.39, 8,205.39 and 2,506.55 is: 3,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.39 : 8,205.39 = 2,506.55 : x
  2. Step 2: Convert to fraction form
    5,475.39/8,205.39 = 2,506.55/x
  3. Step 3: Cross multiply
    5,475.39x = 8,205.39 × 2,506.55
  4. Step 4: Simplify right side
    5,475.39x = 20,567,179.28
  5. Step 5: Solve for x
    x = 20,567,179.28/5,475.39
  6. Step 6: Final answer
    x = 3,756.29

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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.