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Finding the Fourth Proportional to 12,187.16, 16,824.12 and 7,713.08

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Solution

The fourth proportional to 12,187.16, 16,824.12 and 7,713.08 is: 10,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.16 : 16,824.12 = 7,713.08 : x
  2. Step 2: Convert to fraction form
    12,187.16/16,824.12 = 7,713.08/x
  3. Step 3: Cross multiply
    12,187.16x = 16,824.12 × 7,713.08
  4. Step 4: Simplify right side
    12,187.16x = 129,765,770.35
  5. Step 5: Solve for x
    x = 129,765,770.35/12,187.16
  6. Step 6: Final answer
    x = 10,647.75

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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.