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Finding the Fourth Proportional to 18,433.70, 25,438.26 and 10,880

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Solution

The fourth proportional to 18,433.70, 25,438.26 and 10,880 is: 15,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,433.70 : 25,438.26 = 10,880 : x
  2. Step 2: Convert to fraction form
    18,433.70/25,438.26 = 10,880/x
  3. Step 3: Cross multiply
    18,433.70x = 25,438.26 × 10,880
  4. Step 4: Simplify right side
    18,433.70x = 276,768,268.80
  5. Step 5: Solve for x
    x = 276,768,268.80/18,433.70
  6. Step 6: Final answer
    x = 15,014.25

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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.