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Finding the Fourth Proportional to 18,235.20, 27,331.20 and 7,705.20

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Solution

The fourth proportional to 18,235.20, 27,331.20 and 7,705.20 is: 11,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235.20 : 27,331.20 = 7,705.20 : x
  2. Step 2: Convert to fraction form
    18,235.20/27,331.20 = 7,705.20/x
  3. Step 3: Cross multiply
    18,235.20x = 27,331.20 × 7,705.20
  4. Step 4: Simplify right side
    18,235.20x = 210,592,362.24
  5. Step 5: Solve for x
    x = 210,592,362.24/18,235.20
  6. Step 6: Final answer
    x = 11,548.67

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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.