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Finding the Fourth Proportional to 3,281, 4,527.78 and 1,883.75

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Solution

The fourth proportional to 3,281, 4,527.78 and 1,883.75 is: 2,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281 : 4,527.78 = 1,883.75 : x
  2. Step 2: Convert to fraction form
    3,281/4,527.78 = 1,883.75/x
  3. Step 3: Cross multiply
    3,281x = 4,527.78 × 1,883.75
  4. Step 4: Simplify right side
    3,281x = 8,529,205.58
  5. Step 5: Solve for x
    x = 8,529,205.58/3,281
  6. Step 6: Final answer
    x = 2,599.58

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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.