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Finding the Fourth Proportional to 19,288, 26,617.60 and 10,456

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Solution

The fourth proportional to 19,288, 26,617.60 and 10,456 is: 14,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,288 : 26,617.60 = 10,456 : x
  2. Step 2: Convert to fraction form
    19,288/26,617.60 = 10,456/x
  3. Step 3: Cross multiply
    19,288x = 26,617.60 × 10,456
  4. Step 4: Simplify right side
    19,288x = 278,313,625.60
  5. Step 5: Solve for x
    x = 278,313,625.60/19,288
  6. Step 6: Final answer
    x = 14,429.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.