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Finding the Fourth Proportional to 13,205.66, 18,223.92 and 7,237.88

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Solution

The fourth proportional to 13,205.66, 18,223.92 and 7,237.88 is: 9,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.66 : 18,223.92 = 7,237.88 : x
  2. Step 2: Convert to fraction form
    13,205.66/18,223.92 = 7,237.88/x
  3. Step 3: Cross multiply
    13,205.66x = 18,223.92 × 7,237.88
  4. Step 4: Simplify right side
    13,205.66x = 131,902,546.09
  5. Step 5: Solve for x
    x = 131,902,546.09/13,205.66
  6. Step 6: Final answer
    x = 9,988.33

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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.