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Finding the Fourth Proportional to 11,419.97, 15,758.98 and 6,383.21

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Solution

The fourth proportional to 11,419.97, 15,758.98 and 6,383.21 is: 8,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.97 : 15,758.98 = 6,383.21 : x
  2. Step 2: Convert to fraction form
    11,419.97/15,758.98 = 6,383.21/x
  3. Step 3: Cross multiply
    11,419.97x = 15,758.98 × 6,383.21
  4. Step 4: Simplify right side
    11,419.97x = 100,592,783.97
  5. Step 5: Solve for x
    x = 100,592,783.97/11,419.97
  6. Step 6: Final answer
    x = 8,808.50

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Half scale
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Double scale
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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.