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Finding the Fourth Proportional to 20,423.91, 30,636.87 and 5,632.50

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Solution

The fourth proportional to 20,423.91, 30,636.87 and 5,632.50 is: 8,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.91 : 30,636.87 = 5,632.50 : x
  2. Step 2: Convert to fraction form
    20,423.91/30,636.87 = 5,632.50/x
  3. Step 3: Cross multiply
    20,423.91x = 30,636.87 × 5,632.50
  4. Step 4: Simplify right side
    20,423.91x = 172,562,170.28
  5. Step 5: Solve for x
    x = 172,562,170.28/20,423.91
  6. Step 6: Final answer
    x = 8,449.03

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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.