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Finding the Fourth Proportional to 7,912.88, 10,919.34 and 4,729.79

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Solution

The fourth proportional to 7,912.88, 10,919.34 and 4,729.79 is: 6,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.88 : 10,919.34 = 4,729.79 : x
  2. Step 2: Convert to fraction form
    7,912.88/10,919.34 = 4,729.79/x
  3. Step 3: Cross multiply
    7,912.88x = 10,919.34 × 4,729.79
  4. Step 4: Simplify right side
    7,912.88x = 51,646,185.14
  5. Step 5: Solve for x
    x = 51,646,185.14/7,912.88
  6. Step 6: Final answer
    x = 6,526.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.