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Finding the Fourth Proportional to 3,480, 5,220.72 and 1,289.04

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Solution

The fourth proportional to 3,480, 5,220.72 and 1,289.04 is: 1,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480 : 5,220.72 = 1,289.04 : x
  2. Step 2: Convert to fraction form
    3,480/5,220.72 = 1,289.04/x
  3. Step 3: Cross multiply
    3,480x = 5,220.72 × 1,289.04
  4. Step 4: Simplify right side
    3,480x = 6,729,716.91
  5. Step 5: Solve for x
    x = 6,729,716.91/3,480
  6. Step 6: Final answer
    x = 1,933.83

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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.