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Finding the Fourth Proportional to 20,921, 28,873.54 and 12,089

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Solution

The fourth proportional to 20,921, 28,873.54 and 12,089 is: 16,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,921 : 28,873.54 = 12,089 : x
  2. Step 2: Convert to fraction form
    20,921/28,873.54 = 12,089/x
  3. Step 3: Cross multiply
    20,921x = 28,873.54 × 12,089
  4. Step 4: Simplify right side
    20,921x = 349,052,225.06
  5. Step 5: Solve for x
    x = 349,052,225.06/20,921
  6. Step 6: Final answer
    x = 16,684.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.