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Finding the Fourth Proportional to 38,604, 57,906 and 10,902.72

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Solution

The fourth proportional to 38,604, 57,906 and 10,902.72 is: 16,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,604 : 57,906 = 10,902.72 : x
  2. Step 2: Convert to fraction form
    38,604/57,906 = 10,902.72/x
  3. Step 3: Cross multiply
    38,604x = 57,906 × 10,902.72
  4. Step 4: Simplify right side
    38,604x = 631,332,904.32
  5. Step 5: Solve for x
    x = 631,332,904.32/38,604
  6. Step 6: Final answer
    x = 16,354.08

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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.