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Finding the Fourth Proportional to 17,138, 25,710.78 and 7,285.70

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Solution

The fourth proportional to 17,138, 25,710.78 and 7,285.70 is: 10,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138 : 25,710.78 = 7,285.70 : x
  2. Step 2: Convert to fraction form
    17,138/25,710.78 = 7,285.70/x
  3. Step 3: Cross multiply
    17,138x = 25,710.78 × 7,285.70
  4. Step 4: Simplify right side
    17,138x = 187,321,029.85
  5. Step 5: Solve for x
    x = 187,321,029.85/17,138
  6. Step 6: Final answer
    x = 10,930.16

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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.