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Finding the Fourth Proportional to 39,855, 55,001.36 and 24,756

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Solution

The fourth proportional to 39,855, 55,001.36 and 24,756 is: 34,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,855 : 55,001.36 = 24,756 : x
  2. Step 2: Convert to fraction form
    39,855/55,001.36 = 24,756/x
  3. Step 3: Cross multiply
    39,855x = 55,001.36 × 24,756
  4. Step 4: Simplify right side
    39,855x = 1,361,613,668.16
  5. Step 5: Solve for x
    x = 1,361,613,668.16/39,855
  6. Step 6: Final answer
    x = 34,164.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.