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Finding the Fourth Proportional to 12,191.40, 16,823.22 and 6,886.20

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Solution

The fourth proportional to 12,191.40, 16,823.22 and 6,886.20 is: 9,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.40 : 16,823.22 = 6,886.20 : x
  2. Step 2: Convert to fraction form
    12,191.40/16,823.22 = 6,886.20/x
  3. Step 3: Cross multiply
    12,191.40x = 16,823.22 × 6,886.20
  4. Step 4: Simplify right side
    12,191.40x = 115,848,057.56
  5. Step 5: Solve for x
    x = 115,848,057.56/12,191.40
  6. Step 6: Final answer
    x = 9,502.44

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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.