Home / 6,740.24-10,103.88-2,120

Finding the Fourth Proportional to 6,740.24, 10,103.88 and 2,120

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Solution

The fourth proportional to 6,740.24, 10,103.88 and 2,120 is: 3,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.24 : 10,103.88 = 2,120 : x
  2. Step 2: Convert to fraction form
    6,740.24/10,103.88 = 2,120/x
  3. Step 3: Cross multiply
    6,740.24x = 10,103.88 × 2,120
  4. Step 4: Simplify right side
    6,740.24x = 21,420,225.60
  5. Step 5: Solve for x
    x = 21,420,225.60/6,740.24
  6. Step 6: Final answer
    x = 3,177.96

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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.