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Finding the Fourth Proportional to 13,917.88, 20,824.50 and 9,765.99

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Solution

The fourth proportional to 13,917.88, 20,824.50 and 9,765.99 is: 14,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.88 : 20,824.50 = 9,765.99 : x
  2. Step 2: Convert to fraction form
    13,917.88/20,824.50 = 9,765.99/x
  3. Step 3: Cross multiply
    13,917.88x = 20,824.50 × 9,765.99
  4. Step 4: Simplify right side
    13,917.88x = 203,371,754.63
  5. Step 5: Solve for x
    x = 203,371,754.63/13,917.88
  6. Step 6: Final answer
    x = 14,612.27

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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.