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Finding the Fourth Proportional to 17,121.84, 25,679 and 5,432.24

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Solution

The fourth proportional to 17,121.84, 25,679 and 5,432.24 is: 8,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,121.84 : 25,679 = 5,432.24 : x
  2. Step 2: Convert to fraction form
    17,121.84/25,679 = 5,432.24/x
  3. Step 3: Cross multiply
    17,121.84x = 25,679 × 5,432.24
  4. Step 4: Simplify right side
    17,121.84x = 139,494,490.96
  5. Step 5: Solve for x
    x = 139,494,490.96/17,121.84
  6. Step 6: Final answer
    x = 8,147.17

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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.