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Finding the Fourth Proportional to 36,545.44, 50,430.80 and 21,436

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Solution

The fourth proportional to 36,545.44, 50,430.80 and 21,436 is: 29,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,545.44 : 50,430.80 = 21,436 : x
  2. Step 2: Convert to fraction form
    36,545.44/50,430.80 = 21,436/x
  3. Step 3: Cross multiply
    36,545.44x = 50,430.80 × 21,436
  4. Step 4: Simplify right side
    36,545.44x = 1,081,034,628.80
  5. Step 5: Solve for x
    x = 1,081,034,628.80/36,545.44
  6. Step 6: Final answer
    x = 29,580.56

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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.