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Finding the Fourth Proportional to 2,791.47, 4,187.91 and 1,971.35

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Solution

The fourth proportional to 2,791.47, 4,187.91 and 1,971.35 is: 2,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.47 : 4,187.91 = 1,971.35 : x
  2. Step 2: Convert to fraction form
    2,791.47/4,187.91 = 1,971.35/x
  3. Step 3: Cross multiply
    2,791.47x = 4,187.91 × 1,971.35
  4. Step 4: Simplify right side
    2,791.47x = 8,255,836.38
  5. Step 5: Solve for x
    x = 8,255,836.38/2,791.47
  6. Step 6: Final answer
    x = 2,957.52

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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.