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Finding the Fourth Proportional to 25,960, 38,940.72 and 7,492

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Solution

The fourth proportional to 25,960, 38,940.72 and 7,492 is: 11,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960 : 38,940.72 = 7,492 : x
  2. Step 2: Convert to fraction form
    25,960/38,940.72 = 7,492/x
  3. Step 3: Cross multiply
    25,960x = 38,940.72 × 7,492
  4. Step 4: Simplify right side
    25,960x = 291,743,874.24
  5. Step 5: Solve for x
    x = 291,743,874.24/25,960
  6. Step 6: Final answer
    x = 11,238.21

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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.