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Finding the Fourth Proportional to 25,044, 34,561.80 and 13,866

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Solution

The fourth proportional to 25,044, 34,561.80 and 13,866 is: 19,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,044 : 34,561.80 = 13,866 : x
  2. Step 2: Convert to fraction form
    25,044/34,561.80 = 13,866/x
  3. Step 3: Cross multiply
    25,044x = 34,561.80 × 13,866
  4. Step 4: Simplify right side
    25,044x = 479,233,918.80
  5. Step 5: Solve for x
    x = 479,233,918.80/25,044
  6. Step 6: Final answer
    x = 19,135.68

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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.