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Finding the Fourth Proportional to 4,811.88, 7,218.24 and 1,349.16

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Solution

The fourth proportional to 4,811.88, 7,218.24 and 1,349.16 is: 2,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.88 : 7,218.24 = 1,349.16 : x
  2. Step 2: Convert to fraction form
    4,811.88/7,218.24 = 1,349.16/x
  3. Step 3: Cross multiply
    4,811.88x = 7,218.24 × 1,349.16
  4. Step 4: Simplify right side
    4,811.88x = 9,738,560.68
  5. Step 5: Solve for x
    x = 9,738,560.68/4,811.88
  6. Step 6: Final answer
    x = 2,023.86

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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.