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Finding the Fourth Proportional to 25,982.56, 38,979.60 and 12,124

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Solution

The fourth proportional to 25,982.56, 38,979.60 and 12,124 is: 18,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982.56 : 38,979.60 = 12,124 : x
  2. Step 2: Convert to fraction form
    25,982.56/38,979.60 = 12,124/x
  3. Step 3: Cross multiply
    25,982.56x = 38,979.60 × 12,124
  4. Step 4: Simplify right side
    25,982.56x = 472,588,670.40
  5. Step 5: Solve for x
    x = 472,588,670.40/25,982.56
  6. Step 6: Final answer
    x = 18,188.69

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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.