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Finding the Fourth Proportional to 12,172.60, 16,797.90 and 6,867.64

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Solution

The fourth proportional to 12,172.60, 16,797.90 and 6,867.64 is: 9,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.60 : 16,797.90 = 6,867.64 : x
  2. Step 2: Convert to fraction form
    12,172.60/16,797.90 = 6,867.64/x
  3. Step 3: Cross multiply
    12,172.60x = 16,797.90 × 6,867.64
  4. Step 4: Simplify right side
    12,172.60x = 115,361,929.96
  5. Step 5: Solve for x
    x = 115,361,929.96/12,172.60
  6. Step 6: Final answer
    x = 9,477.18

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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.