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Finding the Fourth Proportional to 15,806.43, 23,711 and 4,119.63

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Solution

The fourth proportional to 15,806.43, 23,711 and 4,119.63 is: 6,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.43 : 23,711 = 4,119.63 : x
  2. Step 2: Convert to fraction form
    15,806.43/23,711 = 4,119.63/x
  3. Step 3: Cross multiply
    15,806.43x = 23,711 × 4,119.63
  4. Step 4: Simplify right side
    15,806.43x = 97,680,546.93
  5. Step 5: Solve for x
    x = 97,680,546.93/15,806.43
  6. Step 6: Final answer
    x = 6,179.80

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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.