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Finding the Fourth Proportional to 11,978.24, 16,528.24 and 6,672.64

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Solution

The fourth proportional to 11,978.24, 16,528.24 and 6,672.64 is: 9,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.24 : 16,528.24 = 6,672.64 : x
  2. Step 2: Convert to fraction form
    11,978.24/16,528.24 = 6,672.64/x
  3. Step 3: Cross multiply
    11,978.24x = 16,528.24 × 6,672.64
  4. Step 4: Simplify right side
    11,978.24x = 110,286,995.35
  5. Step 5: Solve for x
    x = 110,286,995.35/11,978.24
  6. Step 6: Final answer
    x = 9,207.28

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1.5x scale

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.