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Finding the Fourth Proportional to 7,077.72, 10,603.86 and 3,954

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Solution

The fourth proportional to 7,077.72, 10,603.86 and 3,954 is: 5,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.72 : 10,603.86 = 3,954 : x
  2. Step 2: Convert to fraction form
    7,077.72/10,603.86 = 3,954/x
  3. Step 3: Cross multiply
    7,077.72x = 10,603.86 × 3,954
  4. Step 4: Simplify right side
    7,077.72x = 41,927,662.44
  5. Step 5: Solve for x
    x = 41,927,662.44/7,077.72
  6. Step 6: Final answer
    x = 5,923.89

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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.