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Finding the Fourth Proportional to 20,283.88, 30,427.74 and 7,969

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Solution

The fourth proportional to 20,283.88, 30,427.74 and 7,969 is: 11,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.88 : 30,427.74 = 7,969 : x
  2. Step 2: Convert to fraction form
    20,283.88/30,427.74 = 7,969/x
  3. Step 3: Cross multiply
    20,283.88x = 30,427.74 × 7,969
  4. Step 4: Simplify right side
    20,283.88x = 242,478,660.06
  5. Step 5: Solve for x
    x = 242,478,660.06/20,283.88
  6. Step 6: Final answer
    x = 11,954.25

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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.