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Finding the Fourth Proportional to 17,978.45, 26,963.36 and 9,208.85

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Solution

The fourth proportional to 17,978.45, 26,963.36 and 9,208.85 is: 13,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.45 : 26,963.36 = 9,208.85 : x
  2. Step 2: Convert to fraction form
    17,978.45/26,963.36 = 9,208.85/x
  3. Step 3: Cross multiply
    17,978.45x = 26,963.36 × 9,208.85
  4. Step 4: Simplify right side
    17,978.45x = 248,301,491.69
  5. Step 5: Solve for x
    x = 248,301,491.69/17,978.45
  6. Step 6: Final answer
    x = 13,811.06

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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.