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Finding the Fourth Proportional to 11,978.34, 16,530.11 and 6,673.50

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Solution

The fourth proportional to 11,978.34, 16,530.11 and 6,673.50 is: 9,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.34 : 16,530.11 = 6,673.50 : x
  2. Step 2: Convert to fraction form
    11,978.34/16,530.11 = 6,673.50/x
  3. Step 3: Cross multiply
    11,978.34x = 16,530.11 × 6,673.50
  4. Step 4: Simplify right side
    11,978.34x = 110,313,689.09
  5. Step 5: Solve for x
    x = 110,313,689.09/11,978.34
  6. Step 6: Final answer
    x = 9,209.43

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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.