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Finding the Fourth Proportional to 25,959.75, 38,944.50 and 12,108.75

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Solution

The fourth proportional to 25,959.75, 38,944.50 and 12,108.75 is: 18,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,959.75 : 38,944.50 = 12,108.75 : x
  2. Step 2: Convert to fraction form
    25,959.75/38,944.50 = 12,108.75/x
  3. Step 3: Cross multiply
    25,959.75x = 38,944.50 × 12,108.75
  4. Step 4: Simplify right side
    25,959.75x = 471,569,214.38
  5. Step 5: Solve for x
    x = 471,569,214.38/25,959.75
  6. Step 6: Final answer
    x = 18,165.40

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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.