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Finding the Fourth Proportional to 4,895.64, 7,343.46 and 2,818.80

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Solution

The fourth proportional to 4,895.64, 7,343.46 and 2,818.80 is: 4,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.64 : 7,343.46 = 2,818.80 : x
  2. Step 2: Convert to fraction form
    4,895.64/7,343.46 = 2,818.80/x
  3. Step 3: Cross multiply
    4,895.64x = 7,343.46 × 2,818.80
  4. Step 4: Simplify right side
    4,895.64x = 20,699,745.05
  5. Step 5: Solve for x
    x = 20,699,745.05/4,895.64
  6. Step 6: Final answer
    x = 4,228.20

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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.