Home / 5,409.42-8,102.16-3,538.02

Finding the Fourth Proportional to 5,409.42, 8,102.16 and 3,538.02

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Solution

The fourth proportional to 5,409.42, 8,102.16 and 3,538.02 is: 5,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.42 : 8,102.16 = 3,538.02 : x
  2. Step 2: Convert to fraction form
    5,409.42/8,102.16 = 3,538.02/x
  3. Step 3: Cross multiply
    5,409.42x = 8,102.16 × 3,538.02
  4. Step 4: Simplify right side
    5,409.42x = 28,665,604.12
  5. Step 5: Solve for x
    x = 28,665,604.12/5,409.42
  6. Step 6: Final answer
    x = 5,299.20

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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.