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Finding the Fourth Proportional to 18,803.50, 25,949.68 and 10,420

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Solution

The fourth proportional to 18,803.50, 25,949.68 and 10,420 is: 14,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,803.50 : 25,949.68 = 10,420 : x
  2. Step 2: Convert to fraction form
    18,803.50/25,949.68 = 10,420/x
  3. Step 3: Cross multiply
    18,803.50x = 25,949.68 × 10,420
  4. Step 4: Simplify right side
    18,803.50x = 270,395,665.60
  5. Step 5: Solve for x
    x = 270,395,665.60/18,803.50
  6. Step 6: Final answer
    x = 14,380.07

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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.