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Finding the Fourth Proportional to 3,480, 5,221.12 and 2,179.84

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Solution

The fourth proportional to 3,480, 5,221.12 and 2,179.84 is: 3,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480 : 5,221.12 = 2,179.84 : x
  2. Step 2: Convert to fraction form
    3,480/5,221.12 = 2,179.84/x
  3. Step 3: Cross multiply
    3,480x = 5,221.12 × 2,179.84
  4. Step 4: Simplify right side
    3,480x = 11,381,206.22
  5. Step 5: Solve for x
    x = 11,381,206.22/3,480
  6. Step 6: Final answer
    x = 3,270.46

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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.