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Finding the Fourth Proportional to 7,636.56, 11,454.88 and 2,089.78

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Solution

The fourth proportional to 7,636.56, 11,454.88 and 2,089.78 is: 3,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.56 : 11,454.88 = 2,089.78 : x
  2. Step 2: Convert to fraction form
    7,636.56/11,454.88 = 2,089.78/x
  3. Step 3: Cross multiply
    7,636.56x = 11,454.88 × 2,089.78
  4. Step 4: Simplify right side
    7,636.56x = 23,938,179.13
  5. Step 5: Solve for x
    x = 23,938,179.13/7,636.56
  6. Step 6: Final answer
    x = 3,134.68

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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.