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Finding the Fourth Proportional to 18,400, 25,392.10 and 10,016.50

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Solution

The fourth proportional to 18,400, 25,392.10 and 10,016.50 is: 13,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400 : 25,392.10 = 10,016.50 : x
  2. Step 2: Convert to fraction form
    18,400/25,392.10 = 10,016.50/x
  3. Step 3: Cross multiply
    18,400x = 25,392.10 × 10,016.50
  4. Step 4: Simplify right side
    18,400x = 254,339,969.65
  5. Step 5: Solve for x
    x = 254,339,969.65/18,400
  6. Step 6: Final answer
    x = 13,822.82

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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.