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Finding the Fourth Proportional to 9,991.70, 14,987.75 and 3,425.43

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Solution

The fourth proportional to 9,991.70, 14,987.75 and 3,425.43 is: 5,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.70 : 14,987.75 = 3,425.43 : x
  2. Step 2: Convert to fraction form
    9,991.70/14,987.75 = 3,425.43/x
  3. Step 3: Cross multiply
    9,991.70x = 14,987.75 × 3,425.43
  4. Step 4: Simplify right side
    9,991.70x = 51,339,471.36
  5. Step 5: Solve for x
    x = 51,339,471.36/9,991.70
  6. Step 6: Final answer
    x = 5,138.21

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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.