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Finding the Fourth Proportional to 18,953.52, 28,421.64 and 11,164.56

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Solution

The fourth proportional to 18,953.52, 28,421.64 and 11,164.56 is: 16,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,953.52 : 28,421.64 = 11,164.56 : x
  2. Step 2: Convert to fraction form
    18,953.52/28,421.64 = 11,164.56/x
  3. Step 3: Cross multiply
    18,953.52x = 28,421.64 × 11,164.56
  4. Step 4: Simplify right side
    18,953.52x = 317,315,105.08
  5. Step 5: Solve for x
    x = 317,315,105.08/18,953.52
  6. Step 6: Final answer
    x = 16,741.75

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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.