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Finding the Fourth Proportional to 12,954.56, 19,431.72 and 4,189.28

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Solution

The fourth proportional to 12,954.56, 19,431.72 and 4,189.28 is: 6,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.56 : 19,431.72 = 4,189.28 : x
  2. Step 2: Convert to fraction form
    12,954.56/19,431.72 = 4,189.28/x
  3. Step 3: Cross multiply
    12,954.56x = 19,431.72 × 4,189.28
  4. Step 4: Simplify right side
    12,954.56x = 81,404,915.96
  5. Step 5: Solve for x
    x = 81,404,915.96/12,954.56
  6. Step 6: Final answer
    x = 6,283.88

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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.