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Finding the Fourth Proportional to 38,606, 57,909 and 10,904.72

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Solution

The fourth proportional to 38,606, 57,909 and 10,904.72 is: 16,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,606 : 57,909 = 10,904.72 : x
  2. Step 2: Convert to fraction form
    38,606/57,909 = 10,904.72/x
  3. Step 3: Cross multiply
    38,606x = 57,909 × 10,904.72
  4. Step 4: Simplify right side
    38,606x = 631,481,430.48
  5. Step 5: Solve for x
    x = 631,481,430.48/38,606
  6. Step 6: Final answer
    x = 16,357.08

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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.