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Finding the Fourth Proportional to 5,480.50, 8,220.78 and 1,376.50

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Solution

The fourth proportional to 5,480.50, 8,220.78 and 1,376.50 is: 2,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.50 : 8,220.78 = 1,376.50 : x
  2. Step 2: Convert to fraction form
    5,480.50/8,220.78 = 1,376.50/x
  3. Step 3: Cross multiply
    5,480.50x = 8,220.78 × 1,376.50
  4. Step 4: Simplify right side
    5,480.50x = 11,315,903.67
  5. Step 5: Solve for x
    x = 11,315,903.67/5,480.50
  6. Step 6: Final answer
    x = 2,064.76

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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.