Home / 5,114-7,666.42-1,826.62

Finding the Fourth Proportional to 5,114, 7,666.42 and 1,826.62

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Solution

The fourth proportional to 5,114, 7,666.42 and 1,826.62 is: 2,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 7,666.42 = 1,826.62 : x
  2. Step 2: Convert to fraction form
    5,114/7,666.42 = 1,826.62/x
  3. Step 3: Cross multiply
    5,114x = 7,666.42 × 1,826.62
  4. Step 4: Simplify right side
    5,114x = 14,003,636.10
  5. Step 5: Solve for x
    x = 14,003,636.10/5,114
  6. Step 6: Final answer
    x = 2,738.29

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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.