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Finding the Fourth Proportional to 36,038.96, 49,730.96 and 20,121.92

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Solution

The fourth proportional to 36,038.96, 49,730.96 and 20,121.92 is: 27,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038.96 : 49,730.96 = 20,121.92 : x
  2. Step 2: Convert to fraction form
    36,038.96/49,730.96 = 20,121.92/x
  3. Step 3: Cross multiply
    36,038.96x = 49,730.96 × 20,121.92
  4. Step 4: Simplify right side
    36,038.96x = 1,000,682,398.64
  5. Step 5: Solve for x
    x = 1,000,682,398.64/36,038.96
  6. Step 6: Final answer
    x = 27,766.68

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1.5x scale

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.