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Finding the Fourth Proportional to 22,314, 30,794.76 and 12,378

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Solution

The fourth proportional to 22,314, 30,794.76 and 12,378 is: 17,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314 : 30,794.76 = 12,378 : x
  2. Step 2: Convert to fraction form
    22,314/30,794.76 = 12,378/x
  3. Step 3: Cross multiply
    22,314x = 30,794.76 × 12,378
  4. Step 4: Simplify right side
    22,314x = 381,177,539.28
  5. Step 5: Solve for x
    x = 381,177,539.28/22,314
  6. Step 6: Final answer
    x = 17,082.44

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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.