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Finding the Fourth Proportional to 12,191.32, 16,837.86 and 8,205.51

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Solution

The fourth proportional to 12,191.32, 16,837.86 and 8,205.51 is: 11,332.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.32 : 16,837.86 = 8,205.51 : x
  2. Step 2: Convert to fraction form
    12,191.32/16,837.86 = 8,205.51/x
  3. Step 3: Cross multiply
    12,191.32x = 16,837.86 × 8,205.51
  4. Step 4: Simplify right side
    12,191.32x = 138,163,187.58
  5. Step 5: Solve for x
    x = 138,163,187.58/12,191.32
  6. Step 6: Final answer
    x = 11,332.92

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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.