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Finding the Fourth Proportional to 7,672.60, 11,511.60 and 3,774.40

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Solution

The fourth proportional to 7,672.60, 11,511.60 and 3,774.40 is: 5,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.60 : 11,511.60 = 3,774.40 : x
  2. Step 2: Convert to fraction form
    7,672.60/11,511.60 = 3,774.40/x
  3. Step 3: Cross multiply
    7,672.60x = 11,511.60 × 3,774.40
  4. Step 4: Simplify right side
    7,672.60x = 43,449,383.04
  5. Step 5: Solve for x
    x = 43,449,383.04/7,672.60
  6. Step 6: Final answer
    x = 5,662.93

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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.