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Finding the Fourth Proportional to 5,453.48, 8,180.76 and 1,991

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Solution

The fourth proportional to 5,453.48, 8,180.76 and 1,991 is: 2,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.48 : 8,180.76 = 1,991 : x
  2. Step 2: Convert to fraction form
    5,453.48/8,180.76 = 1,991/x
  3. Step 3: Cross multiply
    5,453.48x = 8,180.76 × 1,991
  4. Step 4: Simplify right side
    5,453.48x = 16,287,893.16
  5. Step 5: Solve for x
    x = 16,287,893.16/5,453.48
  6. Step 6: Final answer
    x = 2,986.70

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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.