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Finding the Fourth Proportional to 12,213.80, 16,854.78 and 6,908.84

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Solution

The fourth proportional to 12,213.80, 16,854.78 and 6,908.84 is: 9,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.80 : 16,854.78 = 6,908.84 : x
  2. Step 2: Convert to fraction form
    12,213.80/16,854.78 = 6,908.84/x
  3. Step 3: Cross multiply
    12,213.80x = 16,854.78 × 6,908.84
  4. Step 4: Simplify right side
    12,213.80x = 116,446,978.26
  5. Step 5: Solve for x
    x = 116,446,978.26/12,213.80
  6. Step 6: Final answer
    x = 9,534.05

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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.