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Finding the Fourth Proportional to 17,984.40, 26,978.56 and 6,900.50

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Solution

The fourth proportional to 17,984.40, 26,978.56 and 6,900.50 is: 10,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.40 : 26,978.56 = 6,900.50 : x
  2. Step 2: Convert to fraction form
    17,984.40/26,978.56 = 6,900.50/x
  3. Step 3: Cross multiply
    17,984.40x = 26,978.56 × 6,900.50
  4. Step 4: Simplify right side
    17,984.40x = 186,165,553.28
  5. Step 5: Solve for x
    x = 186,165,553.28/17,984.40
  6. Step 6: Final answer
    x = 10,351.50

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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.