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Finding the Fourth Proportional to 2,639.84, 3,638.56 and 2,078.88

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Solution

The fourth proportional to 2,639.84, 3,638.56 and 2,078.88 is: 2,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.84 : 3,638.56 = 2,078.88 : x
  2. Step 2: Convert to fraction form
    2,639.84/3,638.56 = 2,078.88/x
  3. Step 3: Cross multiply
    2,639.84x = 3,638.56 × 2,078.88
  4. Step 4: Simplify right side
    2,639.84x = 7,564,129.61
  5. Step 5: Solve for x
    x = 7,564,129.61/2,639.84
  6. Step 6: Final answer
    x = 2,865.37

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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.