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Finding the Fourth Proportional to 2,759.12, 3,807 and 1,639.52

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Solution

The fourth proportional to 2,759.12, 3,807 and 1,639.52 is: 2,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.12 : 3,807 = 1,639.52 : x
  2. Step 2: Convert to fraction form
    2,759.12/3,807 = 1,639.52/x
  3. Step 3: Cross multiply
    2,759.12x = 3,807 × 1,639.52
  4. Step 4: Simplify right side
    2,759.12x = 6,241,652.64
  5. Step 5: Solve for x
    x = 6,241,652.64/2,759.12
  6. Step 6: Final answer
    x = 2,262.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.