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Finding the Fourth Proportional to 12,168, 16,785.36 and 8,182.26

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Solution

The fourth proportional to 12,168, 16,785.36 and 8,182.26 is: 11,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168 : 16,785.36 = 8,182.26 : x
  2. Step 2: Convert to fraction form
    12,168/16,785.36 = 8,182.26/x
  3. Step 3: Cross multiply
    12,168x = 16,785.36 × 8,182.26
  4. Step 4: Simplify right side
    12,168x = 137,342,179.71
  5. Step 5: Solve for x
    x = 137,342,179.71/12,168
  6. Step 6: Final answer
    x = 11,287.16

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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.