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Finding the Fourth Proportional to 22,374.76, 30,823.78 and 15,647.80

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Solution

The fourth proportional to 22,374.76, 30,823.78 and 15,647.80 is: 21,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374.76 : 30,823.78 = 15,647.80 : x
  2. Step 2: Convert to fraction form
    22,374.76/30,823.78 = 15,647.80/x
  3. Step 3: Cross multiply
    22,374.76x = 30,823.78 × 15,647.80
  4. Step 4: Simplify right side
    22,374.76x = 482,324,344.68
  5. Step 5: Solve for x
    x = 482,324,344.68/22,374.76
  6. Step 6: Final answer
    x = 21,556.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.