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Finding the Fourth Proportional to 39,405, 59,107.56 and 11,703

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Solution

The fourth proportional to 39,405, 59,107.56 and 11,703 is: 17,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,405 : 59,107.56 = 11,703 : x
  2. Step 2: Convert to fraction form
    39,405/59,107.56 = 11,703/x
  3. Step 3: Cross multiply
    39,405x = 59,107.56 × 11,703
  4. Step 4: Simplify right side
    39,405x = 691,735,774.68
  5. Step 5: Solve for x
    x = 691,735,774.68/39,405
  6. Step 6: Final answer
    x = 17,554.52

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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.