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Finding the Fourth Proportional to 18,290.44, 25,240.98 and 9,907

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Solution

The fourth proportional to 18,290.44, 25,240.98 and 9,907 is: 13,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,290.44 : 25,240.98 = 9,907 : x
  2. Step 2: Convert to fraction form
    18,290.44/25,240.98 = 9,907/x
  3. Step 3: Cross multiply
    18,290.44x = 25,240.98 × 9,907
  4. Step 4: Simplify right side
    18,290.44x = 250,062,388.86
  5. Step 5: Solve for x
    x = 250,062,388.86/18,290.44
  6. Step 6: Final answer
    x = 13,671.75

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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.