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Finding the Fourth Proportional to 20,690, 31,023.46 and 12,259.94

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Solution

The fourth proportional to 20,690, 31,023.46 and 12,259.94 is: 18,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690 : 31,023.46 = 12,259.94 : x
  2. Step 2: Convert to fraction form
    20,690/31,023.46 = 12,259.94/x
  3. Step 3: Cross multiply
    20,690x = 31,023.46 × 12,259.94
  4. Step 4: Simplify right side
    20,690x = 380,345,758.19
  5. Step 5: Solve for x
    x = 380,345,758.19/20,690
  6. Step 6: Final answer
    x = 18,383.07

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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.