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Finding the Fourth Proportional to 17,978.95, 26,964.11 and 9,209.35

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Solution

The fourth proportional to 17,978.95, 26,964.11 and 9,209.35 is: 13,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.95 : 26,964.11 = 9,209.35 : x
  2. Step 2: Convert to fraction form
    17,978.95/26,964.11 = 9,209.35/x
  3. Step 3: Cross multiply
    17,978.95x = 26,964.11 × 9,209.35
  4. Step 4: Simplify right side
    17,978.95x = 248,321,880.38
  5. Step 5: Solve for x
    x = 248,321,880.38/17,978.95
  6. Step 6: Final answer
    x = 13,811.81

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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.