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Finding the Fourth Proportional to 20,585.66, 30,891.18 and 9,493.88

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Solution

The fourth proportional to 20,585.66, 30,891.18 and 9,493.88 is: 14,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.66 : 30,891.18 = 9,493.88 : x
  2. Step 2: Convert to fraction form
    20,585.66/30,891.18 = 9,493.88/x
  3. Step 3: Cross multiply
    20,585.66x = 30,891.18 × 9,493.88
  4. Step 4: Simplify right side
    20,585.66x = 293,277,155.98
  5. Step 5: Solve for x
    x = 293,277,155.98/20,585.66
  6. Step 6: Final answer
    x = 14,246.67

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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.