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Finding the Fourth Proportional to 20,642.56, 30,959.05 and 10,101.98

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Solution

The fourth proportional to 20,642.56, 30,959.05 and 10,101.98 is: 15,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.56 : 30,959.05 = 10,101.98 : x
  2. Step 2: Convert to fraction form
    20,642.56/30,959.05 = 10,101.98/x
  3. Step 3: Cross multiply
    20,642.56x = 30,959.05 × 10,101.98
  4. Step 4: Simplify right side
    20,642.56x = 312,747,756.06
  5. Step 5: Solve for x
    x = 312,747,756.06/20,642.56
  6. Step 6: Final answer
    x = 15,150.63

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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.