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Finding the Fourth Proportional to 13,028, 17,993.49 and 8,828.96

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Solution

The fourth proportional to 13,028, 17,993.49 and 8,828.96 is: 12,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028 : 17,993.49 = 8,828.96 : x
  2. Step 2: Convert to fraction form
    13,028/17,993.49 = 8,828.96/x
  3. Step 3: Cross multiply
    13,028x = 17,993.49 × 8,828.96
  4. Step 4: Simplify right side
    13,028x = 158,863,803.47
  5. Step 5: Solve for x
    x = 158,863,803.47/13,028
  6. Step 6: Final answer
    x = 12,194.03

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1.5x scale

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.