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Finding the Fourth Proportional to 8,147.20, 11,243.20 and 4,421.20

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Solution

The fourth proportional to 8,147.20, 11,243.20 and 4,421.20 is: 6,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.20 : 11,243.20 = 4,421.20 : x
  2. Step 2: Convert to fraction form
    8,147.20/11,243.20 = 4,421.20/x
  3. Step 3: Cross multiply
    8,147.20x = 11,243.20 × 4,421.20
  4. Step 4: Simplify right side
    8,147.20x = 49,708,435.84
  5. Step 5: Solve for x
    x = 49,708,435.84/8,147.20
  6. Step 6: Final answer
    x = 6,101.29

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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.