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Finding the Fourth Proportional to 7,899.61, 11,850.64 and 2,969.60

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Solution

The fourth proportional to 7,899.61, 11,850.64 and 2,969.60 is: 4,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.61 : 11,850.64 = 2,969.60 : x
  2. Step 2: Convert to fraction form
    7,899.61/11,850.64 = 2,969.60/x
  3. Step 3: Cross multiply
    7,899.61x = 11,850.64 × 2,969.60
  4. Step 4: Simplify right side
    7,899.61x = 35,191,660.54
  5. Step 5: Solve for x
    x = 35,191,660.54/7,899.61
  6. Step 6: Final answer
    x = 4,454.86

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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.