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Finding the Fourth Proportional to 8,429.85, 12,636.93 and 3,747.40

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Solution

The fourth proportional to 8,429.85, 12,636.93 and 3,747.40 is: 5,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.85 : 12,636.93 = 3,747.40 : x
  2. Step 2: Convert to fraction form
    8,429.85/12,636.93 = 3,747.40/x
  3. Step 3: Cross multiply
    8,429.85x = 12,636.93 × 3,747.40
  4. Step 4: Simplify right side
    8,429.85x = 47,355,631.48
  5. Step 5: Solve for x
    x = 47,355,631.48/8,429.85
  6. Step 6: Final answer
    x = 5,617.61

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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.