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Finding the Fourth Proportional to 7,914.44, 11,870.40 and 2,983.40

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Solution

The fourth proportional to 7,914.44, 11,870.40 and 2,983.40 is: 4,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.44 : 11,870.40 = 2,983.40 : x
  2. Step 2: Convert to fraction form
    7,914.44/11,870.40 = 2,983.40/x
  3. Step 3: Cross multiply
    7,914.44x = 11,870.40 × 2,983.40
  4. Step 4: Simplify right side
    7,914.44x = 35,414,151.36
  5. Step 5: Solve for x
    x = 35,414,151.36/7,914.44
  6. Step 6: Final answer
    x = 4,474.63

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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.