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Finding the Fourth Proportional to 18,811, 25,960.08 and 10,427.50

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Solution

The fourth proportional to 18,811, 25,960.08 and 10,427.50 is: 14,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,811 : 25,960.08 = 10,427.50 : x
  2. Step 2: Convert to fraction form
    18,811/25,960.08 = 10,427.50/x
  3. Step 3: Cross multiply
    18,811x = 25,960.08 × 10,427.50
  4. Step 4: Simplify right side
    18,811x = 270,698,734.20
  5. Step 5: Solve for x
    x = 270,698,734.20/18,811
  6. Step 6: Final answer
    x = 14,390.45

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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.