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Finding the Fourth Proportional to 20,825, 31,237.53 and 8,513

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Solution

The fourth proportional to 20,825, 31,237.53 and 8,513 is: 12,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825 : 31,237.53 = 8,513 : x
  2. Step 2: Convert to fraction form
    20,825/31,237.53 = 8,513/x
  3. Step 3: Cross multiply
    20,825x = 31,237.53 × 8,513
  4. Step 4: Simplify right side
    20,825x = 265,925,092.89
  5. Step 5: Solve for x
    x = 265,925,092.89/20,825
  6. Step 6: Final answer
    x = 12,769.51

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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.