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Finding the Fourth Proportional to 13,121, 18,106.98 and 7,233

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Solution

The fourth proportional to 13,121, 18,106.98 and 7,233 is: 9,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121 : 18,106.98 = 7,233 : x
  2. Step 2: Convert to fraction form
    13,121/18,106.98 = 7,233/x
  3. Step 3: Cross multiply
    13,121x = 18,106.98 × 7,233
  4. Step 4: Simplify right side
    13,121x = 130,967,786.34
  5. Step 5: Solve for x
    x = 130,967,786.34/13,121
  6. Step 6: Final answer
    x = 9,981.54

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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.