Home / 5,107.64-7,662-1,821.04

Finding the Fourth Proportional to 5,107.64, 7,662 and 1,821.04

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Solution

The fourth proportional to 5,107.64, 7,662 and 1,821.04 is: 2,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.64 : 7,662 = 1,821.04 : x
  2. Step 2: Convert to fraction form
    5,107.64/7,662 = 1,821.04/x
  3. Step 3: Cross multiply
    5,107.64x = 7,662 × 1,821.04
  4. Step 4: Simplify right side
    5,107.64x = 13,952,808.48
  5. Step 5: Solve for x
    x = 13,952,808.48/5,107.64
  6. Step 6: Final answer
    x = 2,731.75

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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.