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Finding the Fourth Proportional to 12,214.25, 18,321.39 and 2,980.25

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Solution

The fourth proportional to 12,214.25, 18,321.39 and 2,980.25 is: 4,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.25 : 18,321.39 = 2,980.25 : x
  2. Step 2: Convert to fraction form
    12,214.25/18,321.39 = 2,980.25/x
  3. Step 3: Cross multiply
    12,214.25x = 18,321.39 × 2,980.25
  4. Step 4: Simplify right side
    12,214.25x = 54,602,322.55
  5. Step 5: Solve for x
    x = 54,602,322.55/12,214.25
  6. Step 6: Final answer
    x = 4,470.38

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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.