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Finding the Fourth Proportional to 22,322.60, 30,809.76 and 12,889.88

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Solution

The fourth proportional to 22,322.60, 30,809.76 and 12,889.88 is: 17,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.60 : 30,809.76 = 12,889.88 : x
  2. Step 2: Convert to fraction form
    22,322.60/30,809.76 = 12,889.88/x
  3. Step 3: Cross multiply
    22,322.60x = 30,809.76 × 12,889.88
  4. Step 4: Simplify right side
    22,322.60x = 397,134,109.23
  5. Step 5: Solve for x
    x = 397,134,109.23/22,322.60
  6. Step 6: Final answer
    x = 17,790.67

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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.