Home / 5,102.91-7,654.35-1,405.14

Finding the Fourth Proportional to 5,102.91, 7,654.35 and 1,405.14

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Solution

The fourth proportional to 5,102.91, 7,654.35 and 1,405.14 is: 2,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.91 : 7,654.35 = 1,405.14 : x
  2. Step 2: Convert to fraction form
    5,102.91/7,654.35 = 1,405.14/x
  3. Step 3: Cross multiply
    5,102.91x = 7,654.35 × 1,405.14
  4. Step 4: Simplify right side
    5,102.91x = 10,755,433.36
  5. Step 5: Solve for x
    x = 10,755,433.36/5,102.91
  6. Step 6: Final answer
    x = 2,107.71

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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.