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Finding the Fourth Proportional to 12,192, 16,818.48 and 8,206.32

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Solution

The fourth proportional to 12,192, 16,818.48 and 8,206.32 is: 11,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192 : 16,818.48 = 8,206.32 : x
  2. Step 2: Convert to fraction form
    12,192/16,818.48 = 8,206.32/x
  3. Step 3: Cross multiply
    12,192x = 16,818.48 × 8,206.32
  4. Step 4: Simplify right side
    12,192x = 138,017,828.79
  5. Step 5: Solve for x
    x = 138,017,828.79/12,192
  6. Step 6: Final answer
    x = 11,320.36

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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.