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Finding the Fourth Proportional to 20,454, 28,221.66 and 11,499.72

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Solution

The fourth proportional to 20,454, 28,221.66 and 11,499.72 is: 15,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454 : 28,221.66 = 11,499.72 : x
  2. Step 2: Convert to fraction form
    20,454/28,221.66 = 11,499.72/x
  3. Step 3: Cross multiply
    20,454x = 28,221.66 × 11,499.72
  4. Step 4: Simplify right side
    20,454x = 324,541,187.94
  5. Step 5: Solve for x
    x = 324,541,187.94/20,454
  6. Step 6: Final answer
    x = 15,866.88

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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.