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Finding the Fourth Proportional to 13,492, 20,238 and 4,258

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Solution

The fourth proportional to 13,492, 20,238 and 4,258 is: 6,387

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492 : 20,238 = 4,258 : x
  2. Step 2: Convert to fraction form
    13,492/20,238 = 4,258/x
  3. Step 3: Cross multiply
    13,492x = 20,238 × 4,258
  4. Step 4: Simplify right side
    13,492x = 86,173,404
  5. Step 5: Solve for x
    x = 86,173,404/13,492
  6. Step 6: Final answer
    x = 6,387

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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.