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Finding the Fourth Proportional to 7,636.63, 11,454.78 and 3,738.31

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Solution

The fourth proportional to 7,636.63, 11,454.78 and 3,738.31 is: 5,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.63 : 11,454.78 = 3,738.31 : x
  2. Step 2: Convert to fraction form
    7,636.63/11,454.78 = 3,738.31/x
  3. Step 3: Cross multiply
    7,636.63x = 11,454.78 × 3,738.31
  4. Step 4: Simplify right side
    7,636.63x = 42,821,518.62
  5. Step 5: Solve for x
    x = 42,821,518.62/7,636.63
  6. Step 6: Final answer
    x = 5,607.38

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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.