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Finding the Fourth Proportional to 25,980.81, 38,976.99 and 12,122.25

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Solution

The fourth proportional to 25,980.81, 38,976.99 and 12,122.25 is: 18,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.81 : 38,976.99 = 12,122.25 : x
  2. Step 2: Convert to fraction form
    25,980.81/38,976.99 = 12,122.25/x
  3. Step 3: Cross multiply
    25,980.81x = 38,976.99 × 12,122.25
  4. Step 4: Simplify right side
    25,980.81x = 472,488,817.03
  5. Step 5: Solve for x
    x = 472,488,817.03/25,980.81
  6. Step 6: Final answer
    x = 18,186.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.