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Finding the Fourth Proportional to 11,047.40, 15,241.06 and 8,183.11

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Solution

The fourth proportional to 11,047.40, 15,241.06 and 8,183.11 is: 11,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.40 : 15,241.06 = 8,183.11 : x
  2. Step 2: Convert to fraction form
    11,047.40/15,241.06 = 8,183.11/x
  3. Step 3: Cross multiply
    11,047.40x = 15,241.06 × 8,183.11
  4. Step 4: Simplify right side
    11,047.40x = 124,719,271.20
  5. Step 5: Solve for x
    x = 124,719,271.20/11,047.40
  6. Step 6: Final answer
    x = 11,289.46

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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.