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Finding the Fourth Proportional to 20,479.68, 30,729.24 and 10,089

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Solution

The fourth proportional to 20,479.68, 30,729.24 and 10,089 is: 15,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,479.68 : 30,729.24 = 10,089 : x
  2. Step 2: Convert to fraction form
    20,479.68/30,729.24 = 10,089/x
  3. Step 3: Cross multiply
    20,479.68x = 30,729.24 × 10,089
  4. Step 4: Simplify right side
    20,479.68x = 310,027,302.36
  5. Step 5: Solve for x
    x = 310,027,302.36/20,479.68
  6. Step 6: Final answer
    x = 15,138.29

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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.