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Finding the Fourth Proportional to 17,143.56, 25,725 and 7,909.56

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Solution

The fourth proportional to 17,143.56, 25,725 and 7,909.56 is: 11,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.56 : 25,725 = 7,909.56 : x
  2. Step 2: Convert to fraction form
    17,143.56/25,725 = 7,909.56/x
  3. Step 3: Cross multiply
    17,143.56x = 25,725 × 7,909.56
  4. Step 4: Simplify right side
    17,143.56x = 203,473,431
  5. Step 5: Solve for x
    x = 203,473,431/17,143.56
  6. Step 6: Final answer
    x = 11,868.80

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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.