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Finding the Fourth Proportional to 5,492, 8,238 and 1,388

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Solution

The fourth proportional to 5,492, 8,238 and 1,388 is: 2,082

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492 : 8,238 = 1,388 : x
  2. Step 2: Convert to fraction form
    5,492/8,238 = 1,388/x
  3. Step 3: Cross multiply
    5,492x = 8,238 × 1,388
  4. Step 4: Simplify right side
    5,492x = 11,434,344
  5. Step 5: Solve for x
    x = 11,434,344/5,492
  6. Step 6: Final answer
    x = 2,082

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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.