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Finding the Fourth Proportional to 9,726, 13,383 and 9,453.84

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Solution

The fourth proportional to 9,726, 13,383 and 9,453.84 is: 13,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726 : 13,383 = 9,453.84 : x
  2. Step 2: Convert to fraction form
    9,726/13,383 = 9,453.84/x
  3. Step 3: Cross multiply
    9,726x = 13,383 × 9,453.84
  4. Step 4: Simplify right side
    9,726x = 126,520,740.72
  5. Step 5: Solve for x
    x = 126,520,740.72/9,726
  6. Step 6: Final answer
    x = 13,008.51

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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.