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Finding the Fourth Proportional to 18,804, 25,949.70 and 10,420.68

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Solution

The fourth proportional to 18,804, 25,949.70 and 10,420.68 is: 14,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,804 : 25,949.70 = 10,420.68 : x
  2. Step 2: Convert to fraction form
    18,804/25,949.70 = 10,420.68/x
  3. Step 3: Cross multiply
    18,804x = 25,949.70 × 10,420.68
  4. Step 4: Simplify right side
    18,804x = 270,413,519.80
  5. Step 5: Solve for x
    x = 270,413,519.80/18,804
  6. Step 6: Final answer
    x = 14,380.64

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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.