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Finding the Fourth Proportional to 16,858.88, 25,280 and 5,169.28

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Solution

The fourth proportional to 16,858.88, 25,280 and 5,169.28 is: 7,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.88 : 25,280 = 5,169.28 : x
  2. Step 2: Convert to fraction form
    16,858.88/25,280 = 5,169.28/x
  3. Step 3: Cross multiply
    16,858.88x = 25,280 × 5,169.28
  4. Step 4: Simplify right side
    16,858.88x = 130,679,398.40
  5. Step 5: Solve for x
    x = 130,679,398.40/16,858.88
  6. Step 6: Final answer
    x = 7,751.37

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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.