Home / 5,811.72-8,017.20-3,420

Finding the Fourth Proportional to 5,811.72, 8,017.20 and 3,420

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Solution

The fourth proportional to 5,811.72, 8,017.20 and 3,420 is: 4,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.72 : 8,017.20 = 3,420 : x
  2. Step 2: Convert to fraction form
    5,811.72/8,017.20 = 3,420/x
  3. Step 3: Cross multiply
    5,811.72x = 8,017.20 × 3,420
  4. Step 4: Simplify right side
    5,811.72x = 27,418,824
  5. Step 5: Solve for x
    x = 27,418,824/5,811.72
  6. Step 6: Final answer
    x = 4,717.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.