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Finding the Fourth Proportional to 13,108.23, 18,089 and 7,139.54

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Solution

The fourth proportional to 13,108.23, 18,089 and 7,139.54 is: 9,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.23 : 18,089 = 7,139.54 : x
  2. Step 2: Convert to fraction form
    13,108.23/18,089 = 7,139.54/x
  3. Step 3: Cross multiply
    13,108.23x = 18,089 × 7,139.54
  4. Step 4: Simplify right side
    13,108.23x = 129,147,048.62
  5. Step 5: Solve for x
    x = 129,147,048.62/13,108.23
  6. Step 6: Final answer
    x = 9,852.37

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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.