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Finding the Fourth Proportional to 11,615.28, 17,431.56 and 6,431.28

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Solution

The fourth proportional to 11,615.28, 17,431.56 and 6,431.28 is: 9,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.28 : 17,431.56 = 6,431.28 : x
  2. Step 2: Convert to fraction form
    11,615.28/17,431.56 = 6,431.28/x
  3. Step 3: Cross multiply
    11,615.28x = 17,431.56 × 6,431.28
  4. Step 4: Simplify right side
    11,615.28x = 112,107,243.20
  5. Step 5: Solve for x
    x = 112,107,243.20/11,615.28
  6. Step 6: Final answer
    x = 9,651.70

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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.