Home / 5,102.56-7,646.64-2,179.84

Finding the Fourth Proportional to 5,102.56, 7,646.64 and 2,179.84

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Solution

The fourth proportional to 5,102.56, 7,646.64 and 2,179.84 is: 3,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.56 : 7,646.64 = 2,179.84 : x
  2. Step 2: Convert to fraction form
    5,102.56/7,646.64 = 2,179.84/x
  3. Step 3: Cross multiply
    5,102.56x = 7,646.64 × 2,179.84
  4. Step 4: Simplify right side
    5,102.56x = 16,668,451.74
  5. Step 5: Solve for x
    x = 16,668,451.74/5,102.56
  6. Step 6: Final answer
    x = 3,266.68

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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.