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Finding the Fourth Proportional to 36,138.84, 49,865.04 and 20,823

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Solution

The fourth proportional to 36,138.84, 49,865.04 and 20,823 is: 28,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.84 : 49,865.04 = 20,823 : x
  2. Step 2: Convert to fraction form
    36,138.84/49,865.04 = 20,823/x
  3. Step 3: Cross multiply
    36,138.84x = 49,865.04 × 20,823
  4. Step 4: Simplify right side
    36,138.84x = 1,038,339,727.92
  5. Step 5: Solve for x
    x = 1,038,339,727.92/36,138.84
  6. Step 6: Final answer
    x = 28,731.96

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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.