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Finding the Fourth Proportional to 28,189.44, 42,288 and 9,722.88

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Solution

The fourth proportional to 28,189.44, 42,288 and 9,722.88 is: 14,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,189.44 : 42,288 = 9,722.88 : x
  2. Step 2: Convert to fraction form
    28,189.44/42,288 = 9,722.88/x
  3. Step 3: Cross multiply
    28,189.44x = 42,288 × 9,722.88
  4. Step 4: Simplify right side
    28,189.44x = 411,161,149.44
  5. Step 5: Solve for x
    x = 411,161,149.44/28,189.44
  6. Step 6: Final answer
    x = 14,585.64

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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.