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Finding the Fourth Proportional to 3,480.46, 5,220.86 and 1,015.46

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Solution

The fourth proportional to 3,480.46, 5,220.86 and 1,015.46 is: 1,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.46 : 5,220.86 = 1,015.46 : x
  2. Step 2: Convert to fraction form
    3,480.46/5,220.86 = 1,015.46/x
  3. Step 3: Cross multiply
    3,480.46x = 5,220.86 × 1,015.46
  4. Step 4: Simplify right side
    3,480.46x = 5,301,590.09
  5. Step 5: Solve for x
    x = 5,301,590.09/3,480.46
  6. Step 6: Final answer
    x = 1,523.25

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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.