Home / 5,414-8,120.68-1,465.20

Finding the Fourth Proportional to 5,414, 8,120.68 and 1,465.20

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Solution

The fourth proportional to 5,414, 8,120.68 and 1,465.20 is: 2,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414 : 8,120.68 = 1,465.20 : x
  2. Step 2: Convert to fraction form
    5,414/8,120.68 = 1,465.20/x
  3. Step 3: Cross multiply
    5,414x = 8,120.68 × 1,465.20
  4. Step 4: Simplify right side
    5,414x = 11,898,420.34
  5. Step 5: Solve for x
    x = 11,898,420.34/5,414
  6. Step 6: Final answer
    x = 2,197.71

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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.