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Finding the Fourth Proportional to 39,866.65, 59,809.79 and 11,786.57

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Solution

The fourth proportional to 39,866.65, 59,809.79 and 11,786.57 is: 17,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866.65 : 59,809.79 = 11,786.57 : x
  2. Step 2: Convert to fraction form
    39,866.65/59,809.79 = 11,786.57/x
  3. Step 3: Cross multiply
    39,866.65x = 59,809.79 × 11,786.57
  4. Step 4: Simplify right side
    39,866.65x = 704,952,276.52
  5. Step 5: Solve for x
    x = 704,952,276.52/39,866.65
  6. Step 6: Final answer
    x = 17,682.76

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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.