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Finding the Fourth Proportional to 2,057.84, 3,084.60 and 1,277.84

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Solution

The fourth proportional to 2,057.84, 3,084.60 and 1,277.84 is: 1,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.84 : 3,084.60 = 1,277.84 : x
  2. Step 2: Convert to fraction form
    2,057.84/3,084.60 = 1,277.84/x
  3. Step 3: Cross multiply
    2,057.84x = 3,084.60 × 1,277.84
  4. Step 4: Simplify right side
    2,057.84x = 3,941,625.26
  5. Step 5: Solve for x
    x = 3,941,625.26/2,057.84
  6. Step 6: Final answer
    x = 1,915.42

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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.