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Finding the Fourth Proportional to 2,791.84, 4,187.88 and 1,636.72

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Solution

The fourth proportional to 2,791.84, 4,187.88 and 1,636.72 is: 2,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.84 : 4,187.88 = 1,636.72 : x
  2. Step 2: Convert to fraction form
    2,791.84/4,187.88 = 1,636.72/x
  3. Step 3: Cross multiply
    2,791.84x = 4,187.88 × 1,636.72
  4. Step 4: Simplify right side
    2,791.84x = 6,854,386.95
  5. Step 5: Solve for x
    x = 6,854,386.95/2,791.84
  6. Step 6: Final answer
    x = 2,455.15

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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.