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Finding the Fourth Proportional to 7,817.64, 11,720.97 and 3,919.38

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Solution

The fourth proportional to 7,817.64, 11,720.97 and 3,919.38 is: 5,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.64 : 11,720.97 = 3,919.38 : x
  2. Step 2: Convert to fraction form
    7,817.64/11,720.97 = 3,919.38/x
  3. Step 3: Cross multiply
    7,817.64x = 11,720.97 × 3,919.38
  4. Step 4: Simplify right side
    7,817.64x = 45,938,935.40
  5. Step 5: Solve for x
    x = 45,938,935.40/7,817.64
  6. Step 6: Final answer
    x = 5,876.32

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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.