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Finding the Fourth Proportional to 20,751.84, 31,101.84 and 10,366.56

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Solution

The fourth proportional to 20,751.84, 31,101.84 and 10,366.56 is: 15,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.84 : 31,101.84 = 10,366.56 : x
  2. Step 2: Convert to fraction form
    20,751.84/31,101.84 = 10,366.56/x
  3. Step 3: Cross multiply
    20,751.84x = 31,101.84 × 10,366.56
  4. Step 4: Simplify right side
    20,751.84x = 322,419,090.47
  5. Step 5: Solve for x
    x = 322,419,090.47/20,751.84
  6. Step 6: Final answer
    x = 15,536.89

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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.