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Finding the Fourth Proportional to 20,604, 30,904.56 and 10,748.84

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Solution

The fourth proportional to 20,604, 30,904.56 and 10,748.84 is: 16,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,604 : 30,904.56 = 10,748.84 : x
  2. Step 2: Convert to fraction form
    20,604/30,904.56 = 10,748.84/x
  3. Step 3: Cross multiply
    20,604x = 30,904.56 × 10,748.84
  4. Step 4: Simplify right side
    20,604x = 332,188,170.71
  5. Step 5: Solve for x
    x = 332,188,170.71/20,604
  6. Step 6: Final answer
    x = 16,122.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.