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Finding the Fourth Proportional to 20,873.22, 31,302.03 and 8,389.02

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Solution

The fourth proportional to 20,873.22, 31,302.03 and 8,389.02 is: 12,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.22 : 31,302.03 = 8,389.02 : x
  2. Step 2: Convert to fraction form
    20,873.22/31,302.03 = 8,389.02/x
  3. Step 3: Cross multiply
    20,873.22x = 31,302.03 × 8,389.02
  4. Step 4: Simplify right side
    20,873.22x = 262,593,355.71
  5. Step 5: Solve for x
    x = 262,593,355.71/20,873.22
  6. Step 6: Final answer
    x = 12,580.40

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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.