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Finding the Fourth Proportional to 18,109.64, 27,164.46 and 6,420.12

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Solution

The fourth proportional to 18,109.64, 27,164.46 and 6,420.12 is: 9,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,109.64 : 27,164.46 = 6,420.12 : x
  2. Step 2: Convert to fraction form
    18,109.64/27,164.46 = 6,420.12/x
  3. Step 3: Cross multiply
    18,109.64x = 27,164.46 × 6,420.12
  4. Step 4: Simplify right side
    18,109.64x = 174,399,092.94
  5. Step 5: Solve for x
    x = 174,399,092.94/18,109.64
  6. Step 6: Final answer
    x = 9,630.18

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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.