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Finding the Fourth Proportional to 13,251.70, 19,828.80 and 7,989.94

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Solution

The fourth proportional to 13,251.70, 19,828.80 and 7,989.94 is: 11,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.70 : 19,828.80 = 7,989.94 : x
  2. Step 2: Convert to fraction form
    13,251.70/19,828.80 = 7,989.94/x
  3. Step 3: Cross multiply
    13,251.70x = 19,828.80 × 7,989.94
  4. Step 4: Simplify right side
    13,251.70x = 158,430,922.27
  5. Step 5: Solve for x
    x = 158,430,922.27/13,251.70
  6. Step 6: Final answer
    x = 11,955.52

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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.