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Finding the Fourth Proportional to 20,798.16, 31,205 and 12,484.16

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Solution

The fourth proportional to 20,798.16, 31,205 and 12,484.16 is: 18,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.16 : 31,205 = 12,484.16 : x
  2. Step 2: Convert to fraction form
    20,798.16/31,205 = 12,484.16/x
  3. Step 3: Cross multiply
    20,798.16x = 31,205 × 12,484.16
  4. Step 4: Simplify right side
    20,798.16x = 389,568,212.80
  5. Step 5: Solve for x
    x = 389,568,212.80/20,798.16
  6. Step 6: Final answer
    x = 18,730.90

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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.