Home / 5,214.29-7,821.92-1,704.16

Finding the Fourth Proportional to 5,214.29, 7,821.92 and 1,704.16

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Solution

The fourth proportional to 5,214.29, 7,821.92 and 1,704.16 is: 2,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.29 : 7,821.92 = 1,704.16 : x
  2. Step 2: Convert to fraction form
    5,214.29/7,821.92 = 1,704.16/x
  3. Step 3: Cross multiply
    5,214.29x = 7,821.92 × 1,704.16
  4. Step 4: Simplify right side
    5,214.29x = 13,329,775.11
  5. Step 5: Solve for x
    x = 13,329,775.11/5,214.29
  6. Step 6: Final answer
    x = 2,556.39

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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.