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Finding the Fourth Proportional to 3,898.64, 5,846.24 and 2,047.80

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Solution

The fourth proportional to 3,898.64, 5,846.24 and 2,047.80 is: 3,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.64 : 5,846.24 = 2,047.80 : x
  2. Step 2: Convert to fraction form
    3,898.64/5,846.24 = 2,047.80/x
  3. Step 3: Cross multiply
    3,898.64x = 5,846.24 × 2,047.80
  4. Step 4: Simplify right side
    3,898.64x = 11,971,930.27
  5. Step 5: Solve for x
    x = 11,971,930.27/3,898.64
  6. Step 6: Final answer
    x = 3,070.80

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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.