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Finding the Fourth Proportional to 15,049.81, 20,771.16 and 9,760

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Solution

The fourth proportional to 15,049.81, 20,771.16 and 9,760 is: 13,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,049.81 : 20,771.16 = 9,760 : x
  2. Step 2: Convert to fraction form
    15,049.81/20,771.16 = 9,760/x
  3. Step 3: Cross multiply
    15,049.81x = 20,771.16 × 9,760
  4. Step 4: Simplify right side
    15,049.81x = 202,726,521.60
  5. Step 5: Solve for x
    x = 202,726,521.60/15,049.81
  6. Step 6: Final answer
    x = 13,470.37

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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.