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Finding the Fourth Proportional to 20,052.12, 30,034.44 and 9,642

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Solution

The fourth proportional to 20,052.12, 30,034.44 and 9,642 is: 14,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.12 : 30,034.44 = 9,642 : x
  2. Step 2: Convert to fraction form
    20,052.12/30,034.44 = 9,642/x
  3. Step 3: Cross multiply
    20,052.12x = 30,034.44 × 9,642
  4. Step 4: Simplify right side
    20,052.12x = 289,592,070.48
  5. Step 5: Solve for x
    x = 289,592,070.48/20,052.12
  6. Step 6: Final answer
    x = 14,441.97

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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.