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Finding the Fourth Proportional to 36,438, 50,275.80 and 20,519.28

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Solution

The fourth proportional to 36,438, 50,275.80 and 20,519.28 is: 28,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,438 : 50,275.80 = 20,519.28 : x
  2. Step 2: Convert to fraction form
    36,438/50,275.80 = 20,519.28/x
  3. Step 3: Cross multiply
    36,438x = 50,275.80 × 20,519.28
  4. Step 4: Simplify right side
    36,438x = 1,031,623,217.42
  5. Step 5: Solve for x
    x = 1,031,623,217.42/36,438
  6. Step 6: Final answer
    x = 28,311.74

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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.