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Finding the Fourth Proportional to 31,204, 46,806 and 12,492.46

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Solution

The fourth proportional to 31,204, 46,806 and 12,492.46 is: 18,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204 : 46,806 = 12,492.46 : x
  2. Step 2: Convert to fraction form
    31,204/46,806 = 12,492.46/x
  3. Step 3: Cross multiply
    31,204x = 46,806 × 12,492.46
  4. Step 4: Simplify right side
    31,204x = 584,722,082.76
  5. Step 5: Solve for x
    x = 584,722,082.76/31,204
  6. Step 6: Final answer
    x = 18,738.69

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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.