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Finding the Fourth Proportional to 18,409.20, 27,598.68 and 7,311.12

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Solution

The fourth proportional to 18,409.20, 27,598.68 and 7,311.12 is: 10,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.20 : 27,598.68 = 7,311.12 : x
  2. Step 2: Convert to fraction form
    18,409.20/27,598.68 = 7,311.12/x
  3. Step 3: Cross multiply
    18,409.20x = 27,598.68 × 7,311.12
  4. Step 4: Simplify right side
    18,409.20x = 201,777,261.32
  5. Step 5: Solve for x
    x = 201,777,261.32/18,409.20
  6. Step 6: Final answer
    x = 10,960.68

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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.