Home / 5,102.42-7,653.62-1,405.04

Finding the Fourth Proportional to 5,102.42, 7,653.62 and 1,405.04

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Solution

The fourth proportional to 5,102.42, 7,653.62 and 1,405.04 is: 2,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.42 : 7,653.62 = 1,405.04 : x
  2. Step 2: Convert to fraction form
    5,102.42/7,653.62 = 1,405.04/x
  3. Step 3: Cross multiply
    5,102.42x = 7,653.62 × 1,405.04
  4. Step 4: Simplify right side
    5,102.42x = 10,753,596.95
  5. Step 5: Solve for x
    x = 10,753,596.95/5,102.42
  6. Step 6: Final answer
    x = 2,107.55

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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.