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Finding the Fourth Proportional to 17,320.80, 25,978.56 and 5,634

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Solution

The fourth proportional to 17,320.80, 25,978.56 and 5,634 is: 8,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.80 : 25,978.56 = 5,634 : x
  2. Step 2: Convert to fraction form
    17,320.80/25,978.56 = 5,634/x
  3. Step 3: Cross multiply
    17,320.80x = 25,978.56 × 5,634
  4. Step 4: Simplify right side
    17,320.80x = 146,363,207.04
  5. Step 5: Solve for x
    x = 146,363,207.04/17,320.80
  6. Step 6: Final answer
    x = 8,450.14

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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.