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Finding the Fourth Proportional to 27,107.51, 40,707.79 and 16,639

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Solution

The fourth proportional to 27,107.51, 40,707.79 and 16,639 is: 24,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.51 : 40,707.79 = 16,639 : x
  2. Step 2: Convert to fraction form
    27,107.51/40,707.79 = 16,639/x
  3. Step 3: Cross multiply
    27,107.51x = 40,707.79 × 16,639
  4. Step 4: Simplify right side
    27,107.51x = 677,336,917.81
  5. Step 5: Solve for x
    x = 677,336,917.81/27,107.51
  6. Step 6: Final answer
    x = 24,987.06

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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.