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Finding the Fourth Proportional to 15,996, 22,074.50 and 8,922.88

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Solution

The fourth proportional to 15,996, 22,074.50 and 8,922.88 is: 12,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,996 : 22,074.50 = 8,922.88 : x
  2. Step 2: Convert to fraction form
    15,996/22,074.50 = 8,922.88/x
  3. Step 3: Cross multiply
    15,996x = 22,074.50 × 8,922.88
  4. Step 4: Simplify right side
    15,996x = 196,968,114.56
  5. Step 5: Solve for x
    x = 196,968,114.56/15,996
  6. Step 6: Final answer
    x = 12,313.59

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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.