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Finding the Fourth Proportional to 38,604, 53,274.96 and 21,836.64

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Solution

The fourth proportional to 38,604, 53,274.96 and 21,836.64 is: 30,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,604 : 53,274.96 = 21,836.64 : x
  2. Step 2: Convert to fraction form
    38,604/53,274.96 = 21,836.64/x
  3. Step 3: Cross multiply
    38,604x = 53,274.96 × 21,836.64
  4. Step 4: Simplify right side
    38,604x = 1,163,346,122.53
  5. Step 5: Solve for x
    x = 1,163,346,122.53/38,604
  6. Step 6: Final answer
    x = 30,135.38

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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.