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Finding the Fourth Proportional to 11,978.88, 16,530.85 and 6,675

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Solution

The fourth proportional to 11,978.88, 16,530.85 and 6,675 is: 9,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.88 : 16,530.85 = 6,675 : x
  2. Step 2: Convert to fraction form
    11,978.88/16,530.85 = 6,675/x
  3. Step 3: Cross multiply
    11,978.88x = 16,530.85 × 6,675
  4. Step 4: Simplify right side
    11,978.88x = 110,343,423.75
  5. Step 5: Solve for x
    x = 110,343,423.75/11,978.88
  6. Step 6: Final answer
    x = 9,211.50

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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.