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Finding the Fourth Proportional to 11,270.56, 15,546.88 and 7,078.08

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Solution

The fourth proportional to 11,270.56, 15,546.88 and 7,078.08 is: 9,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.56 : 15,546.88 = 7,078.08 : x
  2. Step 2: Convert to fraction form
    11,270.56/15,546.88 = 7,078.08/x
  3. Step 3: Cross multiply
    11,270.56x = 15,546.88 × 7,078.08
  4. Step 4: Simplify right side
    11,270.56x = 110,042,060.39
  5. Step 5: Solve for x
    x = 110,042,060.39/11,270.56
  6. Step 6: Final answer
    x = 9,763.67

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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.