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Finding the Fourth Proportional to 13,765.20, 18,999 and 9,049.92

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Solution

The fourth proportional to 13,765.20, 18,999 and 9,049.92 is: 12,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.20 : 18,999 = 9,049.92 : x
  2. Step 2: Convert to fraction form
    13,765.20/18,999 = 9,049.92/x
  3. Step 3: Cross multiply
    13,765.20x = 18,999 × 9,049.92
  4. Step 4: Simplify right side
    13,765.20x = 171,939,430.08
  5. Step 5: Solve for x
    x = 171,939,430.08/13,765.20
  6. Step 6: Final answer
    x = 12,490.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.