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Finding the Fourth Proportional to 20,339.52, 30,457.44 and 9,924

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Solution

The fourth proportional to 20,339.52, 30,457.44 and 9,924 is: 14,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,339.52 : 30,457.44 = 9,924 : x
  2. Step 2: Convert to fraction form
    20,339.52/30,457.44 = 9,924/x
  3. Step 3: Cross multiply
    20,339.52x = 30,457.44 × 9,924
  4. Step 4: Simplify right side
    20,339.52x = 302,259,634.56
  5. Step 5: Solve for x
    x = 302,259,634.56/20,339.52
  6. Step 6: Final answer
    x = 14,860.71

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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.