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Finding the Fourth Proportional to 36,894, 50,913.72 and 21,990

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Solution

The fourth proportional to 36,894, 50,913.72 and 21,990 is: 30,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,894 : 50,913.72 = 21,990 : x
  2. Step 2: Convert to fraction form
    36,894/50,913.72 = 21,990/x
  3. Step 3: Cross multiply
    36,894x = 50,913.72 × 21,990
  4. Step 4: Simplify right side
    36,894x = 1,119,592,702.80
  5. Step 5: Solve for x
    x = 1,119,592,702.80/36,894
  6. Step 6: Final answer
    x = 30,346.20

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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.