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Finding the Fourth Proportional to 36,464, 50,320.32 and 19,697

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Solution

The fourth proportional to 36,464, 50,320.32 and 19,697 is: 27,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,464 : 50,320.32 = 19,697 : x
  2. Step 2: Convert to fraction form
    36,464/50,320.32 = 19,697/x
  3. Step 3: Cross multiply
    36,464x = 50,320.32 × 19,697
  4. Step 4: Simplify right side
    36,464x = 991,159,343.04
  5. Step 5: Solve for x
    x = 991,159,343.04/36,464
  6. Step 6: Final answer
    x = 27,181.86

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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.