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Finding the Fourth Proportional to 36,419.21, 50,272.61 and 28,464

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Solution

The fourth proportional to 36,419.21, 50,272.61 and 28,464 is: 39,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,419.21 : 50,272.61 = 28,464 : x
  2. Step 2: Convert to fraction form
    36,419.21/50,272.61 = 28,464/x
  3. Step 3: Cross multiply
    36,419.21x = 50,272.61 × 28,464
  4. Step 4: Simplify right side
    36,419.21x = 1,430,959,571.04
  5. Step 5: Solve for x
    x = 1,430,959,571.04/36,419.21
  6. Step 6: Final answer
    x = 39,291.34

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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.