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Finding the Fourth Proportional to 9,314.87, 13,972.29 and 2,389.37

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Solution

The fourth proportional to 9,314.87, 13,972.29 and 2,389.37 is: 3,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.87 : 13,972.29 = 2,389.37 : x
  2. Step 2: Convert to fraction form
    9,314.87/13,972.29 = 2,389.37/x
  3. Step 3: Cross multiply
    9,314.87x = 13,972.29 × 2,389.37
  4. Step 4: Simplify right side
    9,314.87x = 33,384,900.70
  5. Step 5: Solve for x
    x = 33,384,900.70/9,314.87
  6. Step 6: Final answer
    x = 3,584.05

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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.