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Finding the Fourth Proportional to 12,182.04, 16,811.28 and 6,878.16

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Solution

The fourth proportional to 12,182.04, 16,811.28 and 6,878.16 is: 9,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.04 : 16,811.28 = 6,878.16 : x
  2. Step 2: Convert to fraction form
    12,182.04/16,811.28 = 6,878.16/x
  3. Step 3: Cross multiply
    12,182.04x = 16,811.28 × 6,878.16
  4. Step 4: Simplify right side
    12,182.04x = 115,630,673.64
  5. Step 5: Solve for x
    x = 115,630,673.64/12,182.04
  6. Step 6: Final answer
    x = 9,491.90

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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.