Home / 5,103.12-7,654.44-1,405.20

Finding the Fourth Proportional to 5,103.12, 7,654.44 and 1,405.20

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Solution

The fourth proportional to 5,103.12, 7,654.44 and 1,405.20 is: 2,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.12 : 7,654.44 = 1,405.20 : x
  2. Step 2: Convert to fraction form
    5,103.12/7,654.44 = 1,405.20/x
  3. Step 3: Cross multiply
    5,103.12x = 7,654.44 × 1,405.20
  4. Step 4: Simplify right side
    5,103.12x = 10,756,019.09
  5. Step 5: Solve for x
    x = 10,756,019.09/5,103.12
  6. Step 6: Final answer
    x = 2,107.73

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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.