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Finding the Fourth Proportional to 17,420, 26,134.44 and 5,108

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Solution

The fourth proportional to 17,420, 26,134.44 and 5,108 is: 7,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,420 : 26,134.44 = 5,108 : x
  2. Step 2: Convert to fraction form
    17,420/26,134.44 = 5,108/x
  3. Step 3: Cross multiply
    17,420x = 26,134.44 × 5,108
  4. Step 4: Simplify right side
    17,420x = 133,494,719.52
  5. Step 5: Solve for x
    x = 133,494,719.52/17,420
  6. Step 6: Final answer
    x = 7,663.30

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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.