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Finding the Fourth Proportional to 25,189, 34,761.64 and 13,857.91

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Solution

The fourth proportional to 25,189, 34,761.64 and 13,857.91 is: 19,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189 : 34,761.64 = 13,857.91 : x
  2. Step 2: Convert to fraction form
    25,189/34,761.64 = 13,857.91/x
  3. Step 3: Cross multiply
    25,189x = 34,761.64 × 13,857.91
  4. Step 4: Simplify right side
    25,189x = 481,723,609.28
  5. Step 5: Solve for x
    x = 481,723,609.28/25,189
  6. Step 6: Final answer
    x = 19,124.36

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1.5x scale

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.