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Finding the Fourth Proportional to 7,791.90, 11,687.91 and 1,948.53

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Solution

The fourth proportional to 7,791.90, 11,687.91 and 1,948.53 is: 2,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.90 : 11,687.91 = 1,948.53 : x
  2. Step 2: Convert to fraction form
    7,791.90/11,687.91 = 1,948.53/x
  3. Step 3: Cross multiply
    7,791.90x = 11,687.91 × 1,948.53
  4. Step 4: Simplify right side
    7,791.90x = 22,774,243.27
  5. Step 5: Solve for x
    x = 22,774,243.27/7,791.90
  6. Step 6: Final answer
    x = 2,922.81

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1.5x scale

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.