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Finding the Fourth Proportional to 20,633, 28,474.06 and 11,201.56

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Solution

The fourth proportional to 20,633, 28,474.06 and 11,201.56 is: 15,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633 : 28,474.06 = 11,201.56 : x
  2. Step 2: Convert to fraction form
    20,633/28,474.06 = 11,201.56/x
  3. Step 3: Cross multiply
    20,633x = 28,474.06 × 11,201.56
  4. Step 4: Simplify right side
    20,633x = 318,953,891.53
  5. Step 5: Solve for x
    x = 318,953,891.53/20,633
  6. Step 6: Final answer
    x = 15,458.44

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1.5x scale

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.