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Finding the Fourth Proportional to 20,879.64, 31,324.86 and 8,400.11

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Solution

The fourth proportional to 20,879.64, 31,324.86 and 8,400.11 is: 12,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,879.64 : 31,324.86 = 8,400.11 : x
  2. Step 2: Convert to fraction form
    20,879.64/31,324.86 = 8,400.11/x
  3. Step 3: Cross multiply
    20,879.64x = 31,324.86 × 8,400.11
  4. Step 4: Simplify right side
    20,879.64x = 263,132,113.11
  5. Step 5: Solve for x
    x = 263,132,113.11/20,879.64
  6. Step 6: Final answer
    x = 12,602.33

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1.5x scale

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.