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Finding the Fourth Proportional to 11,261.75, 16,859.75 and 9,047.39

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Solution

The fourth proportional to 11,261.75, 16,859.75 and 9,047.39 is: 13,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.75 : 16,859.75 = 9,047.39 : x
  2. Step 2: Convert to fraction form
    11,261.75/16,859.75 = 9,047.39/x
  3. Step 3: Cross multiply
    11,261.75x = 16,859.75 × 9,047.39
  4. Step 4: Simplify right side
    11,261.75x = 152,536,604.02
  5. Step 5: Solve for x
    x = 152,536,604.02/11,261.75
  6. Step 6: Final answer
    x = 13,544.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.