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Finding the Fourth Proportional to 20,585, 30,877.50 and 5,002.67

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Solution

The fourth proportional to 20,585, 30,877.50 and 5,002.67 is: 7,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585 : 30,877.50 = 5,002.67 : x
  2. Step 2: Convert to fraction form
    20,585/30,877.50 = 5,002.67/x
  3. Step 3: Cross multiply
    20,585x = 30,877.50 × 5,002.67
  4. Step 4: Simplify right side
    20,585x = 154,469,942.93
  5. Step 5: Solve for x
    x = 154,469,942.93/20,585
  6. Step 6: Final answer
    x = 7,504.01

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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.