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Finding the Fourth Proportional to 4,507.36, 6,760 and 1,220.71

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Solution

The fourth proportional to 4,507.36, 6,760 and 1,220.71 is: 1,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.36 : 6,760 = 1,220.71 : x
  2. Step 2: Convert to fraction form
    4,507.36/6,760 = 1,220.71/x
  3. Step 3: Cross multiply
    4,507.36x = 6,760 × 1,220.71
  4. Step 4: Simplify right side
    4,507.36x = 8,251,999.60
  5. Step 5: Solve for x
    x = 8,251,999.60/4,507.36
  6. Step 6: Final answer
    x = 1,830.78

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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.