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Finding the Fourth Proportional to 3,899.61, 5,847.08 and 1,645.46

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Solution

The fourth proportional to 3,899.61, 5,847.08 and 1,645.46 is: 2,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.61 : 5,847.08 = 1,645.46 : x
  2. Step 2: Convert to fraction form
    3,899.61/5,847.08 = 1,645.46/x
  3. Step 3: Cross multiply
    3,899.61x = 5,847.08 × 1,645.46
  4. Step 4: Simplify right side
    3,899.61x = 9,621,128.03
  5. Step 5: Solve for x
    x = 9,621,128.03/3,899.61
  6. Step 6: Final answer
    x = 2,467.20

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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.