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Finding the Fourth Proportional to 36,141.84, 49,869.18 and 20,826

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Solution

The fourth proportional to 36,141.84, 49,869.18 and 20,826 is: 28,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,141.84 : 49,869.18 = 20,826 : x
  2. Step 2: Convert to fraction form
    36,141.84/49,869.18 = 20,826/x
  3. Step 3: Cross multiply
    36,141.84x = 49,869.18 × 20,826
  4. Step 4: Simplify right side
    36,141.84x = 1,038,575,542.68
  5. Step 5: Solve for x
    x = 1,038,575,542.68/36,141.84
  6. Step 6: Final answer
    x = 28,736.10

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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.