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Finding the Fourth Proportional to 3,806.85, 5,702.17 and 1,829.58

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Solution

The fourth proportional to 3,806.85, 5,702.17 and 1,829.58 is: 2,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.85 : 5,702.17 = 1,829.58 : x
  2. Step 2: Convert to fraction form
    3,806.85/5,702.17 = 1,829.58/x
  3. Step 3: Cross multiply
    3,806.85x = 5,702.17 × 1,829.58
  4. Step 4: Simplify right side
    3,806.85x = 10,432,576.19
  5. Step 5: Solve for x
    x = 10,432,576.19/3,806.85
  6. Step 6: Final answer
    x = 2,740.47

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1.5x scale

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.