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Finding the Fourth Proportional to 9,969.28, 13,742.84 and 6,383.72

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Solution

The fourth proportional to 9,969.28, 13,742.84 and 6,383.72 is: 8,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.28 : 13,742.84 = 6,383.72 : x
  2. Step 2: Convert to fraction form
    9,969.28/13,742.84 = 6,383.72/x
  3. Step 3: Cross multiply
    9,969.28x = 13,742.84 × 6,383.72
  4. Step 4: Simplify right side
    9,969.28x = 87,730,442.56
  5. Step 5: Solve for x
    x = 87,730,442.56/9,969.28
  6. Step 6: Final answer
    x = 8,800.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.