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Finding the Fourth Proportional to 18,812, 25,961.46 and 10,428.50

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Solution

The fourth proportional to 18,812, 25,961.46 and 10,428.50 is: 14,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,812 : 25,961.46 = 10,428.50 : x
  2. Step 2: Convert to fraction form
    18,812/25,961.46 = 10,428.50/x
  3. Step 3: Cross multiply
    18,812x = 25,961.46 × 10,428.50
  4. Step 4: Simplify right side
    18,812x = 270,739,085.61
  5. Step 5: Solve for x
    x = 270,739,085.61/18,812
  6. Step 6: Final answer
    x = 14,391.83

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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.