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Finding the Fourth Proportional to 12,113.60, 18,171.60 and 4,214.90

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Solution

The fourth proportional to 12,113.60, 18,171.60 and 4,214.90 is: 6,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.60 : 18,171.60 = 4,214.90 : x
  2. Step 2: Convert to fraction form
    12,113.60/18,171.60 = 4,214.90/x
  3. Step 3: Cross multiply
    12,113.60x = 18,171.60 × 4,214.90
  4. Step 4: Simplify right side
    12,113.60x = 76,591,476.84
  5. Step 5: Solve for x
    x = 76,591,476.84/12,113.60
  6. Step 6: Final answer
    x = 6,322.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.