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Finding the Fourth Proportional to 20,227.25, 30,340.88 and 6,376.25

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Solution

The fourth proportional to 20,227.25, 30,340.88 and 6,376.25 is: 9,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.25 : 30,340.88 = 6,376.25 : x
  2. Step 2: Convert to fraction form
    20,227.25/30,340.88 = 6,376.25/x
  3. Step 3: Cross multiply
    20,227.25x = 30,340.88 × 6,376.25
  4. Step 4: Simplify right side
    20,227.25x = 193,461,036.10
  5. Step 5: Solve for x
    x = 193,461,036.10/20,227.25
  6. Step 6: Final answer
    x = 9,564.38

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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.