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Finding the Fourth Proportional to 15,823.22, 23,738.42 and 8,423.78

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Solution

The fourth proportional to 15,823.22, 23,738.42 and 8,423.78 is: 12,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.22 : 23,738.42 = 8,423.78 : x
  2. Step 2: Convert to fraction form
    15,823.22/23,738.42 = 8,423.78/x
  3. Step 3: Cross multiply
    15,823.22x = 23,738.42 × 8,423.78
  4. Step 4: Simplify right side
    15,823.22x = 199,967,227.63
  5. Step 5: Solve for x
    x = 199,967,227.63/15,823.22
  6. Step 6: Final answer
    x = 12,637.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.