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Finding the Fourth Proportional to 15,765.72, 21,749.81 and 10,381.22

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Solution

The fourth proportional to 15,765.72, 21,749.81 and 10,381.22 is: 14,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.72 : 21,749.81 = 10,381.22 : x
  2. Step 2: Convert to fraction form
    15,765.72/21,749.81 = 10,381.22/x
  3. Step 3: Cross multiply
    15,765.72x = 21,749.81 × 10,381.22
  4. Step 4: Simplify right side
    15,765.72x = 225,789,401.91
  5. Step 5: Solve for x
    x = 225,789,401.91/15,765.72
  6. Step 6: Final answer
    x = 14,321.54

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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.