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Finding the Fourth Proportional to 2,653.64, 3,984.06 and 1,829.87

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Solution

The fourth proportional to 2,653.64, 3,984.06 and 1,829.87 is: 2,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.64 : 3,984.06 = 1,829.87 : x
  2. Step 2: Convert to fraction form
    2,653.64/3,984.06 = 1,829.87/x
  3. Step 3: Cross multiply
    2,653.64x = 3,984.06 × 1,829.87
  4. Step 4: Simplify right side
    2,653.64x = 7,290,311.87
  5. Step 5: Solve for x
    x = 7,290,311.87/2,653.64
  6. Step 6: Final answer
    x = 2,747.29

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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.