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Finding the Fourth Proportional to 22,378, 30,881.79 and 12,306.13

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Solution

The fourth proportional to 22,378, 30,881.79 and 12,306.13 is: 16,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378 : 30,881.79 = 12,306.13 : x
  2. Step 2: Convert to fraction form
    22,378/30,881.79 = 12,306.13/x
  3. Step 3: Cross multiply
    22,378x = 30,881.79 × 12,306.13
  4. Step 4: Simplify right side
    22,378x = 380,035,322.37
  5. Step 5: Solve for x
    x = 380,035,322.37/22,378
  6. Step 6: Final answer
    x = 16,982.54

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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.